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The number of ways of distributing 50 id...

The number of ways of distributing 50 identical things among 8 persons in which such a way that three of them get 8 things each, two of them get 7 things each and remaining three get 4 things each is equal to,

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STATEMENT -1 : No. of ways of distributing 20 different things equally among 5 persons = 20!//4!^(5) . STATEMENT -2: No. of ways of distributing 20 different things equally among 5 persons = 20!//4!^(5).5! . STATEMENT-3 : No. of ways of distributing 20 different things in 5 groups such that in three group there are 6 things each and in remaining two groups there is 1 thing each = (20!)/((6!)^(3)) .