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Five balls b_(1),b_(2),b_(3),b_(4),b_(5) are kept at random in five foxes B_(1),B_(2),B_(3),B_(4),B_(5), one in each box. Let P(r ) be the probability of r balls going to corresponding numbered boxes. {:(,"Column-I",,"Column-II"),((A),P(0)=,,(P)(1)/(12)),((B),P(1)=,,(Q)(3)/(8)),((C),P(2)=,,(R)(1)/(3)),((D),P(3)=,,(S)(11)/(30)),(,,,(T)(1)/(6)):} |
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Answer» Dearrangement of n elements is `n!((1)/(2!)-(1)/(3!)+(1)/(4!)+.......+(-1)^(n)(1)/(n!))` |
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