Q.

The number of ways to select 2 numbers from {0,1,2,3,4}  such that the sum of the squares of the selected numbers is divisible by 5 are (repetition of digits is allowed)

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a

7

b

9C8

c

9C1

d

9

answer is A, B, C.

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Detailed Solution

Given digits 0, 1, 2, 3, 4

The possible numbers such that the sum of the squares is divisible by 5 are 00, 12, 13, 24, 42, 31, 21, 34, 43

Number of numbers =9(or)9C1(or)9C8

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