jee-main 2021 Q73

jee-main · India · session1_25feb_shift2 Permutations & Arrangements Counting Functions with Constraints

Let $x$ denote the total number of one-one functions from a set $A$ with 3 elements to a set $B$ with 5 elements and $y$ denote the total number of one-one functions from the set $A$ to the set $A \times B$. Then:
(1) $y = 273 x$
(2) $2 y = 273 x$
(3) $2 y = 91 x$
(4) $y = 91 x$

Let $x$ denote the total number of one-one functions from a set $A$ with 3 elements to a set $B$ with 5 elements and $y$ denote the total number of one-one functions from the set $A$ to the set $A \times B$. Then:\\
(1) $y = 273 x$\\
(2) $2 y = 273 x$\\
(3) $2 y = 91 x$\\
(4) $y = 91 x$

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