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Week 6 Statistics 1 Questions | Prasnya

Statistics 1 > Week 6

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Topic-Wise PYQs Start Weekly Test

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Week mock Topic mock Subject mock

34Q

A person won a special pass to an amusement park that allows him to bring

4

friends with him for free. He has

8

friends, but two of them are twins who will only attend if both are included. How many different groups of

4

friends can the person choose to take along?

\binom{n}{2}+2\binom{n}{1}=35

, find the value of

n

From a group of

5

students, a team of

3

students is to be selected. From this selected team, one student is chosen as the leader. In how many different ways can this be done?

In how many ways can a committee be formed if at least one girl must be included?

In a quiz competition, eight students are competing, each assigned a roll number from

1

8

. What is the probability that only students with prime-numbered roll numbers, i.e.

2,3,5,7

, secure the top four ranks, in any order? Enter the answer correct to three decimal places.

r

offices and wants to set up two-way communication between every pair of offices. However, the

n

smallest offices will not have direct communication with one another, though each of them can still connect directly with the remaining offices. How many communication channels are needed in total?

A basket contains

{}^{n}C_r=56

4

green balls. If

3

balls are to be selected at random without replacement, in how many ways can the balls be selected such that at least one green ball is included?

3

people is to be formed from a group of

n

people. The number of possible committees in which two particular people

A

B

are both included together is

7

. Find the number of ways in which the committee can be formed.

How many panels include at least one Mathematics student?

A company needs to select a team of

5

members from a group of

12

employees. Out of these,

3

specific roles need to be assigned: Team Leader, Manager, and Analyst. How many different ways can the team be selected and the roles allocated?

6

4

girls, how many queues of

3

2

girls can be formed?

A box contains three distinct white balls, four distinct black balls, and three distinct red balls. Find the number of ways in which three balls can be drawn from the box so that all three drawn balls have different colors.

In a school, there are

3

students in section-A,

4

students in section-B and

5

students in section-C. Find the number of ways, in which

8

students can be selected such that it includes at least

2

students from each section and at most

5

students from the total

7

students in section-A and section-B.

01 December 2024

Which of the following option(s) is/are correct for selecting and arranging

r

objects from a total of

n

distinct objects without replacement?

Multiple correct

01 December 2024

{}^{n}C_r=56

{}^{n}P_r=336

, find the value of

9

01 December 2024

What is the probability that a black pair of balls is chosen? Enter the answer correct to two decimal places.

01 December 2024

What is the probability that they are of same colour? Enter the answer correct to two decimal places.

01 December 2024

In how many ways can this be done when the committee consists of exactly

3

In how many ways can this be done when the committee consists of at least

3

In a hockey team consisting of

11

players, each player shakes hands with every other player exactly once before the match begins. How many handshakes occur among the teammates?

(2,4,3)

3

black balls and

4

red balls. In how many ways can

3

balls be drawn from the box, if at least one red ball is to be included in the draw?

What is the probability that a black pair of balls is chosen? Enter the answer correct to two decimal places.

What is the probability that they are of same colour? Enter the answer correct to two decimal places.

Choose the correct options from the following:

Choose the correct options from the following:

Find the number of ways in which the students can be selected such that at least one student likes Statistics.

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 Manoj and Nitin can invite their friends.

03 December 2023

8

5

girls, how many queues of

3

2

girls can be formed?

The sum of three natural numbers starting from

1

9

. How many ordered triplets

(a,b,c)

a=b

b=c

a=b=c

is allowed. For example, ordered triplets

(4,3,2)

(2,4,3)

Select the steps from the following options that you will use to arrange the persons at a round table. Note: This question is optional.

20 November 2022

Select the steps from the following options that you will use for selection of players to draft a team. Note: This question is optional.

20 November 2022

Select the steps from the following options that you will use to arrange the letters of the given word. Note: This question is optional.

20 November 2022

Showing 34 questions.

Statistics 1 > Week 6

All PYQs

Topic-Wise PYQs Start Weekly Test

Mock tests

Week mock Topic mock Subject mock

34Q

A person won a special pass to an amusement park that allows him to bring

4

friends with him for free. He has

8

friends, but two of them are twins who will only attend if both are included. How many different groups of

4

friends can the person choose to take along?

\binom{n}{2}+2\binom{n}{1}=35

, find the value of

12

From a group of

5

students, a team of

6

students is to be selected. From this selected team, one student is chosen as the leader. In how many different ways can this be done?

In how many ways can a committee be formed if at least one girl must be included?

In a quiz competition, eight students are competing, each assigned a roll number from

1

8

. What is the probability that only students with prime-numbered roll numbers, i.e.

2,3,5,7

, secure the top four ranks, in any order? Enter the answer correct to three decimal places.

15

offices and wants to set up two-way communication between every pair of offices. However, the

3

smallest offices will not have direct communication with one another, though each of them can still connect directly with the remaining offices. How many communication channels are needed in total?

A basket contains

5

4

green balls. If

3

balls are to be selected at random without replacement, in how many ways can the balls be selected such that at least one green ball is included?

3

people is to be formed from a group of

n

people. The number of possible committees in which two particular people

A

B

are both included together is

7

. Find the number of ways in which the committee can be formed.

How many panels include at least one Mathematics student?

A company needs to select a team of

5

members from a group of

12

employees. Out of these,

3

specific roles need to be assigned: Team Leader, Manager, and Analyst. How many different ways can the team be selected and the roles allocated?

6

4

girls, how many queues of

3

2

girls can be formed?

A box contains three distinct white balls, four distinct black balls, and three distinct red balls. Find the number of ways in which three balls can be drawn from the box so that all three drawn balls have different colors.

In a school, there are

3

students in section-A,

4

students in section-B and

5

students in section-C. Find the number of ways, in which

8

students can be selected such that it includes at least

2

students from each section and at most

5

students from the total

7

students in section-A and section-B.

01 December 2024

Which of the following option(s) is/are correct for selecting and arranging

r

objects from a total of

n

distinct objects without replacement?

Multiple correct

01 December 2024

{}^{n}C_r=56

{}^{n}P_r=336

, find the value of

r

01 December 2024

What is the probability that a black pair of balls is chosen? Enter the answer correct to two decimal places.

01 December 2024

What is the probability that they are of same colour? Enter the answer correct to two decimal places.

01 December 2024

In how many ways can this be done when the committee consists of exactly

3

In how many ways can this be done when the committee consists of at least

3

In a hockey team consisting of

11

players, each player shakes hands with every other player exactly once before the match begins. How many handshakes occur among the teammates?

3

3

black balls and

4

red balls. In how many ways can

3

balls be drawn from the box, if at least one red ball is to be included in the draw?

What is the probability that a black pair of balls is chosen? Enter the answer correct to two decimal places.

What is the probability that they are of same colour? Enter the answer correct to two decimal places.

Choose the correct options from the following:

Choose the correct options from the following:

Find the number of ways in which the students can be selected such that at least one student likes Statistics.

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 Manoj and Nitin can invite their friends.

03 December 2023

8

5

girls, how many queues of

3

2

girls can be formed?

The sum of three natural numbers starting from

1

9

. How many ordered triplets

(a,b,c)

a=b

b=c

a=b=c

is allowed. For example, ordered triplets

(4,3,2)

(2,4,3)

Select the steps from the following options that you will use to arrange the persons at a round table. Note: This question is optional.

20 November 2022

Select the steps from the following options that you will use for selection of players to draft a team. Note: This question is optional.

20 November 2022

Select the steps from the following options that you will use to arrange the letters of the given word. Note: This question is optional.

20 November 2022

Showing 34 questions.