Let x and y be distinct integers where 1 ≤ x ≤ 25 and 1 ≤ y ≤ 25. Then, the number of ways of choosing x and y, such that x+y is divisible by 5, is _ _ _ _ _ _.

Permutations and Combinations: JEE Main 2023 Mathematics question

JEE Main 2023 · 25 Jan, Morning shift · Q43

JEE Main 202325 Jan, Morning shiftMathematicsMediumPermutations and Combinations98× since 2002

Let

x

and

y

be distinct integers where

1 \le x \le 25

and

1 \le y \le 25

. Then, the number of ways of choosing

x

and

y

, such that

x+y

is divisible by 5, is ____________.

Your answerType your answer. Integers and decimals are accepted.