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

2024 · 8 Apr · Shift 1 · Q47
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Permutations and Combinations
  5. /2024 · 8 Apr · Shift 1 · Q47

Permutations and Combinations question

2024 · 8 Apr · Shift 1 · Q47

JEE MainMathematicsPermutations and CombinationsMCQ+4 / −1
Let [t][t][t] be the greatest integer less than or equal to ttt. Let AAA be the set of all prime factors of 2310 and f:A→Zf: A \rightarrow \mathbb{Z}f:A→Z be the function f(x)=[log⁡2(x2+[x35])]f(x)=\left[\log _2\left(x^2+\left[\frac{x^3}{5}\right]\right)\right]f(x)=[log2​(x2+[5x3​])]. The number of one-to-one functions from AAA to the range of fff is
  1. A
    20
  2. B
    120
  3. C
    25
  4. D
    24
PreviousNext

More from Permutations and Combinations

  • The number of 3-digit numbers, formed using the digits 2, 3, 4, 5 and 7, when the repetition of digits is not allowed, and which are not divisible by 3 , is equal to ​.2024 · Numerical
  • The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not necessarily distinct, is equal to:2024 · MCQ
  • The number of integers, between 100 and 1000 having the sum of their digits equals to 14 , is ​.2024 · Numerical
  • Let α=(4!)3!(4!)!​ and β=(5!)4!(5!)!​. Then :2024 · MCQ
  • All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in a dictionary. The serial number of the word "GTWENTY" is ​.2024 · Numerical
  • Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is equal to2024 · MCQ
  • In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections : A,B and C. A student is required to attempt total 15 questions taking at least 4 questions from each…2024 · Numerical
  • The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' taken four at a time, is equal to ​.2024 · Numerical