Let x denote the total number of... | Functions JEE Main 2021

JEE MAIN 2021

25-02-2021 S2

Question

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 × B. Then:

Select the correct option:

y = 273x

2y = 91x

y = 91x

2y = 273x

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & x={ }^5 C_3 \times 3!=60 \\ & y={ }^{15} C_3 \times 3!=15 \times 14 \times 13=30 \times 91 \\ & \therefore 2 y=91 x\end{aligned}$

Question Tags

JEE Main

Mathematics

Easy

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