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If a team of four persons is to be selected from males and females, then in how many ways can the selections be made to include at least one male.
(a)
(b)
(c)
(d)None of these

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Important Questions on Permutations and Combinations
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If a team of four persons is to be selected from males and females, then in how many ways can the selections be made if it has to contain at the maximum of three women?

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How many figures are required to number a book containing pages?

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There are orators A, B, C, D, E, F, G and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.

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There are letters and envelopes. In how many ways can wrong choices be made?

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There are letters and envelopes. Find the number of ways in which only one letter goes in the wrong envelope?

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There are four envelopes and four letters. Find the number of ways in which only two letters goes in the wrong envelopes?

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A train is running between Patna to Howrah. Seven people enter the train somewhere between Patna and Howrah. It is given that nine stops are therein between Patna and Howrah. In how many ways can the tickets be purchased if no restriction is there with respect to the number of tickets at any station? people do not buy the same ticket.

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There are seven pairs of black shoes and five pairs of white shoes. They all are put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
