If $A=\{3,4,5,6\} B=\{1,2,3,----10\}$ be two sets. A function ${f}$ is defined from $A$ to ${B}$ such that $f(i)-f(j) \geq 2 \,\forall \,i > j$ where $i, j \in A$ and number of such functions is ${N}$ then $\frac{N}{5}$ is equal to

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

A=\{3,4,5,6\} B=\{1,2,3,----10\}

be two sets. A function

{f}

is defined from

A

{B}

such that

f(i)-f(j) \geq 2 \,\forall \,i > j

where

i, j \in A

and number of such functions is

{N}

then

\frac{N}{5}

is equal to

View answer and explanation

Correct option: D

Option D (7) is correct because the number of such functions N is 35, and N/5 equals 7.