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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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^{9} C_{1}

^{9} C_{8}

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Correct option is C

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 $= 9 (o r)^{9} C_{1} (o r)^{9} C_{8}$

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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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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)