MEDIUM

JEE Main

IMPORTANT

Earn 100

A scientific committee is to be formed from $6$ Indians and $8$ foreigners, which includes at least $2$ Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is:

83.33% studentsanswered this correctly

Important Questions on Permutation and Combination

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 24 Feb 2021 Shift 2>Q 25

The probability that two randomly selected subsets of the set

{1, 2, 3, 4, 5}

have exactly two elements in their intersection, is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 24 Feb 2021 Shift 2>Q 26

The students

S_{1}, S_{2}, \dots, S_{10}

are to be divided into

3

groups

A, B

and

C

such that each group has at least one student and the group

C

has at most

3

students. Then the total number of possibilities of forming such groups is __________.

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 Feb 2021 Shift 1>Q 27

The total number of positive integral solutions

(x, y, z)

such that

x y z = 24

is :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 Feb 2021 Shift 1>Q 28

The total number of numbers, lying between

100

and

1000

that can be formed with the digits

1, 2, 3, 4, 5,

if the repetition of digits is not allowed and numbers are divisible by either

3

5,

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 Feb 2021 Shift 2>Q 29

Let

x

denote the total number of one-one functions from a set

A

with

3

elements to a set

B

with

5

elements and

y

denote the total number of one-one functions from the set

A

to the set

A \times B

. Then :

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 Feb 2021 Shift 2>Q 30

The total number of two digit numbers

' n'

, such that

3^{n} + 7^{n}

is a multiple of

10

, is ___ .

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 26 Feb 2021 Shift 1>Q 31

The number of seven digit integers with sum of the digits equal to

10

and formed by using the digits

1, 2

and

3

only is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 26 Feb 2021 Shift 2>Q 32

A natural number has prime factorization given by

n = 2^{x} 3^{y} 5^{z}

, where

y

and

z

are such that

y + z = 5

and

y^{- 1} + z^{- 1} = \frac{5}{6}, y > z

. Then the number of odd divisors of

n

, including

1

, is:

A scientific committee is to be formed from 6 Indians and 8 foreigners, which includes at least 2 Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is:

Important Questions on Permutation and Combination

Learn and Prepare for any exam you want !

A scientific committee is to be formed from $6$ Indians and $8$ foreigners, which includes at least $2$ Indians and double the number of foreigners as Indians. Then the number of ways, the committee can be formed, is: