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We are given M urns, numbered 1 to M and n balls (n < M) and P(A) denote the probability that each of the urns numbered 1 to n, will contain exactly one ball. Column IColumn II(a)If the balls are different and any number of balls can go to any urn then P(A)= –––(p)1MCn(b)If the balls are identical and any number of balls can go to any urn then P(A)= –––(q)1(M+n−1)CM−1(c)If the balls are identical but at most one ball can be put in any box, then P(A)= –––(r)n!MCn(d)If the balls are different and at most one ball can be put in any box, then P(A)= –––(s)n!Mn |
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Answer» We are given M urns, numbered 1 to M and n balls (n < M) and P(A) denote the probability that each of the urns numbered 1 to n, will contain exactly one ball. Column IColumn II(a)If the balls are different and any number of balls can go to any urn then P(A)= –––(p)1MCn(b)If the balls are identical and any number of balls can go to any urn then P(A)= –––(q)1(M+n−1)CM−1(c)If the balls are identical but at most one ball can be put in any box, then P(A)= –––(r)n!MCn(d)If the balls are different and at most one ball can be put in any box, then P(A)= –––(s)n!Mn |
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