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The number of bijective function f1,3,5,7,⋯,99→2,4,6,8,⋯,100 if f3>f5>f7⋯>f99 is

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Important Questions on Permutation and Combination

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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
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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 _______.
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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 ______.
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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 _______.
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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
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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
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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 _______.
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JEE Main
IMPORTANT
EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - Permutation and Combination>JEE Main - 29 July 2022 Shift 2>Q 104
The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2,3,4,5,6 (repetition of digits is not allowed) and divisible by 55 is _____.