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The probability of lndia winning a test match against Australia is 1/4 . Assuming the matches to be independent events , the probability that in a 7 match series lndia's second win occurs at 4^(th) test is P , then 256 P is equal to

The probability of India winning a test match against West Indies is (1)/(2) .Assuming independence from match to match,find the probability that in a match series India' the second win occurs at the third test.

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Two series of a question booklets for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rows of six each so that there should be no identical series side by side and that the students sitting one behind the other should have the same series?

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