Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Permutations and Combinations question

2021 · 25 Jul · Shift 2 · Q39
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Permutations and Combinations
  5. /2021 · 25 Jul · Shift 2 · Q39

Permutations and Combinations question

2021 · 25 Jul · Shift 2 · Q39

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1
If nPr=nPr+1{}^n{P_r} = {}^n{P_{r + 1}}nPr​=nPr+1​ and nCr=nCr−1{}^n{C_r} = {}^n{C_{r - 1}}nCr​=nCr−1​, then the value of r is equal to :
  1. A
    1
  2. B
    4
  3. C
    2
  4. D
    3
PreviousNext

More from Permutations and Combinations

  • If 1P1​+2.2P2​+3.3P3​+....+15.15P15​=qPr​−s,0≤s≤1, then q+sCr−s​ is equal to ​.2021 · Numerical
  • The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if the repetition of digits is not allowed, is ​.2021 · Numerical
  • 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 :2021 · MCQ
  • A natural number has prime factorization given by n = 2x3y5z, where y and z are such that y + z = 5 and y − 1 + z − 1 = 65​, y > z. Then the number of odd divisions of n, including 1, is :2021 · MCQ
  • A number is called a palindrome if it reads the same backward as well as forward. For example 285582 is a six digit palindrome. The number of six digit palindromes, which are divisible by 55, is ​.2021 · Numerical
  • Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A ⊆ S : A eϕ and the sum of all the elements of A is not a multiple of 3} is ​.2021 · Numerical
  • Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)10 . (11)11 . (13)13 is equal to ​.2021 · Numerical
  • The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is ​.2021 · Numerical