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Question

# Total 5âˆ’digits numbers divisible by 6 can be formed using 0, 1, 2, 3, 4, 5 if repetition of digits is not allowed is:

A
60
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B
48
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C
108
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D
216
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Solution

## The correct option is C 1085−digits numbers divisible by 6 can be formed using 0, 1, 2, 3, 4, 5we have to use 1,5 and 2,4 as pairs so, we can put 0,3 as 5th no.we can put only even digit at lastTaking 0 let 0 be ones place digit⇒4×3×2×1=24when last digit not 0⇒2×3×3×2×1=36Taking 3⇒2×4×3×2×1=48Total=24+36+48=108

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