Let [t] be the greatest integer less than or equal to t. Let A be the set of all prime factors of 2310 and f: A → Z be the function f(x)=[ log ₂(x²+[(x³)/5])]. The number of one-to-one functions from A to the range of f is

Permutations and Combinations: JEE Main 2024 Mathematics question

JEE Main 2024 · 8 Apr, Morning shift · Q4854

JEE Main 20248 Apr, Morning shiftMathematicsMediumPermutations and Combinations98× since 2002

Let

[t]

be the greatest integer less than or equal to

t

. Let

A

be the set of all prime factors of 2310 and

f: A \rightarrow \mathbb{Z}

be the function

f(x)=\left[\log _2\left(x^2+\left[\frac{x^3}{5}\right]\right)\right]

. The number of one-to-one functions from

A

to the range of

f