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Week 5 Statistics 1 Questions | Prasnya

Statistics 1 > Week 5

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35Q

Nine friends are to be seated around a round table. Among them, Amit and Rohit insist on sitting next to each other. In how many ways can the friends be seated around a circular table?

Amit wants to create a

4

-digit numerical PIN for his ATM card. In how many ways can he create a

4

-digit number between

5000

9000

using the digits

1,3,5,6,8,9

, if repetition of digits is allowed?

5

's are there between

1

1000

How many numbers greater than

10{,}000

can be formed using the digits

0,2,5,4,6,8

without repetition?

4

4

students is to be seated around a circular table for a discussion. They decide that all students must sit together. Find the number of ways they can be seated around the table such that all students are sitting together.

5

-digit numbers can be formed using the digits

0,2,3,4,7

where digits may be repeated such that the number is divisible by

2

In how many different ways can the letters of the word 'ARTICLE' be arranged such that all the vowels always come together?

In how many ways can

6

people be arranged in a line such that two specific people,

A

B

, must never be next to each other?

In how many different ways can the letters of the word “AMERICA” be arranged such that the consonants always come together?

The number of ways to arrange

n+1

objects in a line is equal to

6

times the number of ways to arrange

n

objects in a line. Find the value of

n

In how many ways can

7

people be arranged around a circular table if one specific person must always occupy a fixed seat, which cannot be changed?

Administration section of a university has started to create roll numbers for the students, following the format '232174' using the digits

1,2,3,4,5,6,7

and a capital letter at the third position. Assume no digits are repeated. Find the number of ways in which the administration section can create a unique roll number.

01 December 2024

How many four letter words, with or without meaning, can be formed using the letters of the word 'ENGLISH' without repetition such that 'E' is one of the alphabet in each of the word formed?

01 December 2024

Praveen attempts a question paper of

12

questions. Each question has

4

choices. If he answers the questions randomly, then find the number of ways in which he can attempt the entire paper.

In a dinner party, there are

2

5

females who need to be seated around a round table. In how many ways can they be seated so that no two males are seated next to each other?

\frac{{}^{10}P_{r+3}}{{}^{5}P_r}=90

, then what is the value of

{}^{7}P_2

In how many different ways can the letters of the word

n

be arranged such that the vowels always come together?

Choose the correct options from the following:

Choose the correct options from the following:

Find the number of ways in which performers can be arranged in a circular order such that no two violinists will sit together.

Choose the correct options from the following:

03 December 2023

Choose the correct options from the following:

03 December 2023

Find the number of ways in which employees can sit around a circular table such that all leaders will sit together.

03 December 2023

Administration section of a university has started to create roll numbers for the students, following the format

232170

using the digits

0,1,2,3,4,5,6

, and a capital letter at the third position. Assume no digits are repeated. Find the number of ways in which the administration section can create a unique roll number.

03 December 2023

In how many ways can letters in the word “ADAMANT” be arranged such that no two A's are adjacent to each other?

In a gaming room,

2

4

other boys are playing together. In a particular game, how many ways can all the boys be seated in a circular order so that two brothers are not seated together?

A logo is to be designed with five horizontal stripes using some or all of the colours Black, Blue, Red, and Green. In how many ways can that be done such that no two adjacent stripes have same colour?

How many 3-digit numbers can be made using only 2 different digits taken from 1 to 9? Repetition of digits is allowed.

The number of whole numbers, starting from zero, smaller than

10^4

, of which all the digits are distinct, is:

How many 9's are there between 1 and 1000?

How many four-digit numbers, each divisible by 4, can be formed using the digits 5, 6, 7, 8, 9, if repetition of digits is allowed in any number?

12

ways to arrange

n

persons at a round table such that two particular persons, say

A

B

, will sit together, then find the value of

n

20 November 2022

Consider the events:

A

: the number of outcomes in which the sum of the digits that appear on the face is even when a fair die is rolled thrice.

B

: the number of ways in which

6

beads can be arranged to form a necklace.

C

: the number of ways of posting

6

different letters in

2

different post boxes such that at least one letter is posted in each of the boxes. In which of these events do the total number of outcomes exceed

60

Multiple correct

20 November 2022

A basketball coach wants to draft a team. For drafting the team,

5

players are available for the position of point guard,

4

players are available for shooting guard,

6

players are available for small forward,

2

players are available for power forward and

3

players are available for center. If he needs to select one player for each of these positions, then in how many ways can he draft the team?

20 November 2022

In how many ways can the letters of the word

\text{REMAIN}

be arranged such that the vowels either occupy only odd or even positions?

20 November 2022

Showing 35 questions.

Statistics 1 > Week 5

All PYQs

Topic-Wise PYQs Start Weekly Test

Mock tests

Week mock Topic mock Subject mock

35Q

Nine friends are to be seated around a round table. Among them, Amit and Rohit insist on sitting next to each other. In how many ways can the friends be seated around a circular table?

Amit wants to create a

4

-digit numerical PIN for his ATM card. In how many ways can he create a

4

-digit number between

5000

9000

using the digits

1,3,5,6,8,9

, if repetition of digits is allowed?

5

's are there between

1

1000

How many numbers greater than

10{,}000

can be formed using the digits

0,2,5,4,6,8

without repetition?

4

4

students is to be seated around a circular table for a discussion. They decide that all students must sit together. Find the number of ways they can be seated around the table such that all students are sitting together.

5

-digit numbers can be formed using the digits

0,2,3,4,7

where digits may be repeated such that the number is divisible by

2

In how many different ways can the letters of the word 'ARTICLE' be arranged such that all the vowels always come together?

In how many ways can

6

people be arranged in a line such that two specific people,

A

B

, must never be next to each other?

In how many different ways can the letters of the word “AMERICA” be arranged such that the consonants always come together?

The number of ways to arrange

n+1

objects in a line is equal to

6

times the number of ways to arrange

n

objects in a line. Find the value of

n

In how many ways can

7

people be arranged around a circular table if one specific person must always occupy a fixed seat, which cannot be changed?

Administration section of a university has started to create roll numbers for the students, following the format '232174' using the digits

1,2,3,4,5,6,7

and a capital letter at the third position. Assume no digits are repeated. Find the number of ways in which the administration section can create a unique roll number.

01 December 2024

How many four letter words, with or without meaning, can be formed using the letters of the word 'ENGLISH' without repetition such that 'E' is one of the alphabet in each of the word formed?

01 December 2024

Praveen attempts a question paper of

12

questions. Each question has

4

choices. If he answers the questions randomly, then find the number of ways in which he can attempt the entire paper.

In a dinner party, there are

2

5

females who need to be seated around a round table. In how many ways can they be seated so that no two males are seated next to each other?

\frac{{}^{10}P_{r+3}}{{}^{5}P_r}=90

, then what is the value of

{}^{7}P_2

In how many different ways can the letters of the word

\text{ENGLISH}

be arranged such that the vowels always come together?

Choose the correct options from the following:

Choose the correct options from the following:

Find the number of ways in which performers can be arranged in a circular order such that no two violinists will sit together.

Choose the correct options from the following:

03 December 2023

Choose the correct options from the following:

03 December 2023

Find the number of ways in which employees can sit around a circular table such that all leaders will sit together.

03 December 2023

Administration section of a university has started to create roll numbers for the students, following the format

C

using the digits

6

, and a capital letter at the third position. Assume no digits are repeated. Find the number of ways in which the administration section can create a unique roll number.

03 December 2023

In how many ways can letters in the word “ADAMANT” be arranged such that no two A's are adjacent to each other?

In a gaming room,

2

4

other boys are playing together. In a particular game, how many ways can all the boys be seated in a circular order so that two brothers are not seated together?

A logo is to be designed with five horizontal stripes using some or all of the colours Black, Blue, Red, and Green. In how many ways can that be done such that no two adjacent stripes have same colour?

How many 3-digit numbers can be made using only 2 different digits taken from 1 to 9? Repetition of digits is allowed.

The number of whole numbers, starting from zero, smaller than

10^4

, of which all the digits are distinct, is:

How many 9's are there between 1 and 1000?

How many four-digit numbers, each divisible by 4, can be formed using the digits 5, 6, 7, 8, 9, if repetition of digits is allowed in any number?

12

ways to arrange

n

persons at a round table such that two particular persons, say

A

B

, will sit together, then find the value of

n

20 November 2022

Consider the events:

A

: the number of outcomes in which the sum of the digits that appear on the face is even when a fair die is rolled thrice.

B

: the number of ways in which

6

beads can be arranged to form a necklace.

C

: the number of ways of posting

6

different letters in

2

different post boxes such that at least one letter is posted in each of the boxes. In which of these events do the total number of outcomes exceed

60

Multiple correct

20 November 2022

A basketball coach wants to draft a team. For drafting the team,

5

players are available for the position of point guard,

4

players are available for shooting guard,

6

players are available for small forward,

2

players are available for power forward and

3

players are available for center. If he needs to select one player for each of these positions, then in how many ways can he draft the team?

20 November 2022

In how many ways can the letters of the word

\text{REMAIN}

be arranged such that the vowels either occupy only odd or even positions?

20 November 2022

Showing 35 questions.