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Divisibility by 4

A number of ...

Question

A number of $4$ different digits are formed using $1, 2, 3, 5$ Find the total numbers are such that number is divisible by $5$ .

A

5

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B

6

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C

35

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D

75

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Solution

The correct option is C $6$
$F o r n u m b e r t o b e d i v i s i b l e b y 5, t h e u n i t s p l a c e m u s t b e f i x e d w i t h 5. N o w r e s t t h r e e d i g i t s c a n b e f i l l e d w i t h t h r e e n u m b e r s i n 3! w a y s = 6 ∴ P e r m u t a t i o n = 6$

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