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11 June, 07:19

Suppose that there are eight corporations competing for nine different contracts. If the contracts are awarded randomly, what is the probability that each corporation will get at least one contract?

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  1. 11 June, 07:25
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    For this distributing 9 contracts to 8 corporations, one corporation should get 2 contracts and others should get 1 contract to get atleast one contact. 8 ways to choose person getting 2 9c2 ways to allocate 2 to that person 7! ways to distribute the remaining 5, so favorable ways = 8*9c2*7! each contract has 8 choices for allocation, so total ways = 8^7 Pr = 8*9c2*7!/8^7 = 0.0430
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