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A five digit number is formed with the digits 8, 3, 4, 5 and 6 without repetition. Find the probability that the number is divisible by 5.
Question

A five digit number is formed with the digits 8, 3, 4, 5 and 6 without repetition. Find the probability that the number is divisible by 5.

A.

2/5

B.

3/5

C.

1/5  

D.

4/5

Correct option is C

Digits = 8, 3, 4, 5, 6

Total numbers possible
= 5!
= 120

For divisibility by 5,
last digit must be 5.

Remaining digits arranged
= 4!

= 24

Probability
= 24 / 120
= 1/5

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