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Question: Six boys and six girls sit along a line alternatively with probability p<sub>1</sub> and along a ci...

Six boys and six girls sit along a line alternatively with

probability p1 and along a circle (again alternatively) with

probability p2, then p1/p2 is equal to

A

1

B

1/5

C

6

D

None of these

Answer

1

Explanation

Solution

P1 = (6!)×(6!)×(2!)(12)!\frac { ( 6 ! ) \times ( 6 ! ) \times ( 2 ! ) } { ( 12 ) ! } straight line

P2= (6!)×(6!)×(2!)(12!)(5!)(6!)×(11!)\frac { ( 6 ! ) \times ( 6 ! ) \times ( 2 ! ) } { ( 12 ! ) ( 5 ! ) ( 6 ! ) } \times ( 11 ! )= 1