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Question: Fifteen persons among whom are A and B, sit down at random at a round table. It p is The probabilit...

Fifteen persons among whom are A and B, sit down at

random at a round table. It p is The probability that there are exactly any 4 persons between A and B then 14 p =

A

4

B

8

C

2

D

None of these

Answer

2

Explanation

Solution

favorable = (13C4×4)\left( { } ^ { 13 } \mathrm { C } _ { 4 } \times \square 4 \right) × × 2!

= (13 × 12 × 11 × 10) × 2\lfloor 2 × = ×

Total = = 14\mathbf { 1 4 }

p = 17\frac { 1 } { 7 } = 2