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Question: 5 persons A, B, C, D and E are in queue of a shop. The probability that A and E always together, is...

5 persons A, B, C, D and E are in queue of a shop. The probability that A and E always together, is

A

14\frac { 1 } { 4 }

B

23\frac { 2 } { 3 }

C

25\frac { 2 } { 5 }

D

35\frac { 3 } { 5 }

Answer

25\frac { 2 } { 5 }

Explanation

Solution

Total number of ways

Favourable number of ways 2.4!2.4 !

Hence required probability =2.4!5!=25= \frac { 2.4 ! } { 5 ! } = \frac { 2 } { 5 }.