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Question

Question: A five digit number is formed by digits 1,2,3,4,5,6,8 without repetition. The probability that numbe...

A five digit number is formed by digits 1,2,3,4,5,6,8 without repetition. The probability that number so formed has odd digits at both ends =

A

27\frac { 2 } { 7 }

B

114\frac { 1 } { 14 }

C

17\frac { 1 } { 7 }

D

None of these

Answer

114\frac { 1 } { 14 }

Explanation

Solution

1,2,3,4,5,6,8

favour =

= 3 × (5 × 4 × 3) × 2 = 360

P = 3607P5\frac { 360 } { { } ^ { 7 } \mathrm { P } _ { 5 } } = 114\frac { 1 } { 14 }