MEDIUM
JEE Main
IMPORTANT
Earn 100

The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is _____ .

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Important Questions on Permutation and Combination

MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 25 July 2022 Shift 2>Q 96
The number of bijective function f1,3,5,7,⋯,99→2,4,6,8,⋯,100 if f3>f5>f7⋯>f99 is
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 26 July 2022 Shift 1>Q 97
The number of 5-digit natural numbers, such that the product of their digits is 36, is
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 26 July 2022 Shift 2>Q 98
Numbers are to be formed between 1000 and 3000, which are divisible by 4, using the digits 1,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is _______.
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 27 July 2022 Shift 1>Q 99
Let S be the set containing all 3×3 matrices with entries from -1,0,1. The total number of matrices A∈S such that the sum of all the diagonal elements of ATA is 6 is ______.
HARD
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 27 July 2022 Shift 2>Q 100
The number of functions f, from the set A=x∈N:x2-10x+9≤0 to the set B=n2:n∈N such that fx≤x-32+1, for every x∈A, is _______.
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 28 July 2022 Shift 1>Q 101
Let S be the set of all passwords which are six to eight characters long, where each character is either an alphabet from A,B,C,D,E or a number from 1,2,3,4,5 with the repetition of characters allowed. If the number of passwords in S whose at least one character is a number from 1,2,3,4,5 is α×56, then α is equal to
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 28 July 2022 Shift 2>Q 102
A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168, then b+3g is equal to
MEDIUM
JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 29 July 2022 Shift 1>Q 103
The number of matrices of order 3×3, whose entries are either 0 or 1 and the sum of all the entries is a prime number, is _______.