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Question: A number of 5 digit is to be formed with the digits 0, 1, 2, 3, 4 without repetition. The probabili...

A number of 5 digit is to be formed with the digits 0, 1, 2, 3,

4 without repetition. The probability that it is a number

divisible by 4, is

A

1/3

B

5/16

C

¼

D

4/15

Answer

4/15

Explanation

Solution

Total 5 digits no. = x x x x x Æ Æ Æ Æ Æ

4 × 4 × 3 × 2 × 1 = 96 % by 4 = – – – 0 4 = 6 – – – 4 0 = 6 – – – 2 0 = 6 \ P = 30 3096=516\frac { 30 } { 96 } = \frac { 5 } { 16 } – – – 1 2 = 4– – –.3 2 = 4

– – –.2 4 = 4