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

2023 · 31 Jan · Shift 2 · Q40
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Permutations and Combinations
  5. /2023 · 31 Jan · Shift 2 · Q40

Permutations and Combinations question

2023 · 31 Jan · Shift 2 · Q40

JEE MainMathematicsPermutations and CombinationsNumerical+4 / −1
Let A=[aij],aij∈Z∩[0,4],1≤i,j≤2\mathrm{A}=\left[\mathrm{a}_{i j}\right], \mathrm{a}_{i j} \in \mathbb{Z} \cap[0,4], 1 \leq i, j \leq 2A=[aij​],aij​∈Z∩[0,4],1≤i,j≤2. The number of matrices A such that the sum of all entries is a prime number p∈(2,13)\mathrm{p} \in(2,13)p∈(2,13) is ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Permutations and Combinations

  • If 2n+1Pn−1​:2n−1Pn​=11:21, then n2+n+15 is equal to :2023 · Numerical
  • In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, − 2 marks for each wrong answer and 0 mark if the question is not attempted. Then,…2022 · Numerical
  • The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9 is ​.2022 · Numerical
  • 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 ​.2022 · Numerical
  • The number of 3-digit odd numbers, whose sum of digits is a multiple of 7, is ​.2022 · Numerical
  • Let A be a 3 × 3 matrix having entries from the set {− 1, 0, 1}. The number of all such matrices A having sum of all the entries equal to 5, is ​.2022 · Numerical
  • The total number of three-digit numbers, with one digit repeated exactly two times, is ​.2022 · Numerical
  • The number of 5-digit natural numbers, such that the product of their digits is 36 , is ​.2022 · Numerical