Question:medium

Functions are formed from the set $A = \{a_1, a_2, a_3\}$ to another set $B = \{b_1, b_2, b_3, b_4, b_5\}$. If a function is selected at random, the probability that it is a one-one function is

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For a function from a set A with $n$ elements to a set B with $m$ elements: - The total number of functions is $m^n$. - The number of one-one (injective) functions is $^mP_n = \frac{m!}{(m-n)!}$ (if $n \le m$, otherwise 0).

Updated On: Mar 30, 2026

1/2
13/25
3/5
12/25

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The Correct Option is D

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Functions are formed from the set $A = \{a_1, a_2, a_3\}$ to another set $B = \{b_1, b_2, b_3, b_4, b_5\}$. If a function is selected at random, the probability that it is a one-one function is

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The Correct Option is D

Solution and Explanation

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