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Q.

2m white counters and 2n red counters are arranged in a straight line with (m + n) counters on each side of a central mark. The number of ways of arranging the counters, so that the arrangements are symmetrical with respect to the central mark, is

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a

12(m+n)!m!n!

b

 2m+2nC2m

c

none of these

d

(m+n)!m!n!

answer is A.

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Detailed Solution

Arrange m white and n red counters on one side of the central mark. This can be done in (m+n)!m!n!

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