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a

${\text{\hspace{0.17em}}}^{9}{C}_{1}$

b

${\text{\hspace{0.17em}}}^{9}{C}_{8}$

c

9

d

7

NEW

detailed solution

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 $=9\text{\hspace{0.17em}}\left(or\right){\text{\hspace{0.17em}}}^{9}{C}_{1}\text{\hspace{0.17em}}\left(or\right){\text{\hspace{0.17em}}}^{9}{C}_{8}$

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