JEE PYQ: Functions Question 9
Question 9 - 2021 (25 Feb Shift 2)
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) $y = 273x$
(2) $2y = 91x$
(3) $y = 91x$
(4) $2y = 273x$
Type: MCQ
Show Answer
Answer: (2) $2y = 91x$
Solution
$x = 5 \times 4 \times 3 = 60$
$y = 15 \times 14 \times 13$
$2y = 91x$