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IITM BS Week 6 Statistics 1 Questions | Prasnya
Statistics 1 > Week 6
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34Q
01
A person won a special pass to an amusement park that allows him to bring
4
4
4
friends with him for free. He has
8
8
8
friends, but two of them are twins who will only attend if both are included. How many different groups of
4
4
4
friends can the person choose to take along?
Numerical
MEDIUM
3 marks
06 April 2026
02
If
(
n
2
)
+
2
(
n
1
)
=
35
\binom{n}{2}+2\binom{n}{1}=35
(
2
n
)
+
2
(
1
n
)
=
35
, find the value of
n
n
n
.
Numerical
EASY
3 marks
06 April 2026
03
From a group of
5
5
5
students, a team of
3
3
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?
Single correct
EASY
2 marks
06 April 2026
04
In how many ways can a committee be formed if at least one girl must be included?
Comprehension
MEDIUM
2 marks
06 April 2026
05
In a quiz competition, eight students are competing, each assigned a roll number from
1
1
1
to
8
8
8
. What is the probability that only students with prime-numbered roll numbers, i.e.
2
,
3
,
5
,
7
2,3,5,7
2
,
3
,
5
,
7
, secure the top four ranks, in any order? Enter the answer correct to three decimal places.
Numerical
MEDIUM
2 marks
03 August 2025
06
A company has
15
15
15
offices and wants to set up two-way communication between every pair of offices. However, the
3
3
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?
Numerical
EASY
2 marks
03 August 2025
07
A basket contains
5
5
5
red balls and
4
4
4
green balls. If
3
3
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?
Numerical
EASY
3 marks
03 August 2025
08
A committee of
3
3
3
people is to be formed from a group of
n
n
n
people. The number of possible committees in which two particular people
A
A
A
and
B
B
B
are both included together is
7
7
7
. Find the number of ways in which the committee can be formed.
Numerical
MEDIUM
3 marks
03 August 2025
09
How many panels include at least one Mathematics student?
Comprehension
EASY
2 marks
03 August 2025
10
A company needs to select a team of
5
5
5
members from a group of
12
12
12
employees. Out of these,
3
3
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?
Single correct
MEDIUM
3 marks
16 March 2025
11
Out of
6
6
6
boys and
4
4
4
girls, how many queues of
3
3
3
boys and
2
2
2
girls can be formed?
Single correct
MEDIUM
3 marks
16 March 2025
12
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.
Numerical
EASY
2 marks
16 March 2025
13
In a school, there are
3
3
3
students in section-A,
4
4
4
students in section-B and
5
5
5
students in section-C. Find the number of ways, in which
8
8
8
students can be selected such that it includes at least
2
2
2
students from each section and at most
5
5
5
students from the total
7
7
7
students in section-A and section-B.
Numerical
MEDIUM
4 marks
01 December 2024
14
Which of the following option(s) is/are correct for selecting and arranging
r
r
r
objects from a total of
n
n
n
distinct objects without replacement?
Multiple correct
EASY
2 marks
01 December 2024
15
If
n
C
r
=
56
{}^{n}C_r=56
n
C
r
=
56
and
n
P
r
=
336
{}^{n}P_r=336
n
P
r
=
336
, find the value of
r
r
r
.
Single correct
EASY
3 marks
01 December 2024
16
What is the probability that a black pair of balls is chosen? Enter the answer correct to two decimal places.
Comprehension
EASY
2 marks
01 December 2024
17
What is the probability that they are of same colour? Enter the answer correct to two decimal places.
Comprehension
MEDIUM
3 marks
01 December 2024
18
In a hockey team consisting of
11
11
11
players, each player shakes hands with every other player exactly once before the match begins. How many handshakes occur among the teammates?
Single correct
EASY
2 marks
04 August 2024
19
A box contains
3
3
3
white balls,
3
3
3
black balls and
4
4
4
red balls. In how many ways can
3
3
3
balls be drawn from the box, if at least one red ball is to be included in the draw?
Single correct
MEDIUM
3 marks
04 August 2024
20
In how many ways can this be done when the committee consists of exactly
3
3
3
Women?
Comprehension
MEDIUM
2 marks
04 August 2024
21
In how many ways can this be done when the committee consists of at least
3
3
3
Women?
Comprehension
MEDIUM
3 marks
04 August 2024
22
What is the probability that a black pair of balls is chosen? Enter the answer correct to two decimal places.
Comprehension
EASY
2 marks
24 March 2024
23
What is the probability that they are of same colour? Enter the answer correct to two decimal places.
Comprehension
MEDIUM
3 marks
24 March 2024
24
Choose the correct options from the following:
Comprehension
EASY
1 marks
24 March 2024
25
Choose the correct options from the following:
Comprehension
EASY
1 marks
24 March 2024
26
Find the number of ways in which the students can be selected such that at least one student likes Statistics.
Comprehension
MEDIUM
3 marks
24 March 2024
27
Choose the correct options from the following:
Comprehension
EASY
1 marks
03 December 2023
28
Choose the correct options from the following:
Comprehension
EASY
1 marks
03 December 2023
29
Find the number of ways in which Manoj and Nitin can invite their friends.
Comprehension
MEDIUM
3 marks
03 December 2023
30
Out of
8
8
8
boys and
5
5
5
girls, how many queues of
3
3
3
boys and
2
2
2
girls can be formed?
Single correct
MEDIUM
4 marks
06 August 2023
31
The sum of three natural numbers starting from
1
1
1
is
9
9
9
. How many ordered triplets
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
exist? Note:
a
=
b
a=b
a
=
b
or
b
=
c
b=c
b
=
c
, also
a
=
b
=
c
a=b=c
a
=
b
=
c
is allowed. For example, ordered triplets
(
4
,
3
,
2
)
(4,3,2)
(
4
,
3
,
2
)
and
(
2
,
4
,
3
)
(2,4,3)
(
2
,
4
,
3
)
are different.
Single correct
EASY
3 marks
06 August 2023
32
Select the steps from the following options that you will use to arrange the persons at a round table. Note: This question is optional.
Comprehension
EASY
1m
20 November 2022
33
Select the steps from the following options that you will use for selection of players to draft a team. Note: This question is optional.
Comprehension
EASY
1m
20 November 2022
34
Select the steps from the following options that you will use to arrange the letters of the given word. Note: This question is optional.
Comprehension
EASY
1m
20 November 2022
Showing 34 questions.
Complete question index for this section:
Question 1 (integer):
Question 2 (integer):
Question 3 (single):
Question 4 (comprehension):
Question 5 (integer):
Question 6 (integer):
Question 7 (integer):
Question 8 (integer):
Question 9 (comprehension):
Question 10 (single):
Question 11 (single):
Question 12 (integer):
Question 13 (integer):
Question 14 (multiple):
Question 15 (single):
Question 16 (comprehension):
Question 17 (comprehension):
Question 18 (single):
Question 19 (single):
Question 20 (comprehension):
Question 21 (comprehension):
Question 22 (comprehension):
Question 23 (comprehension):
Question 24 (comprehension):
Question 25 (comprehension):
Question 26 (comprehension):
Question 27 (comprehension):
Question 28 (comprehension):
Question 29 (comprehension):
Question 30 (single):
Question 31 (single):
Question 32 (comprehension):
Question 33 (comprehension):
Question 34 (comprehension):
