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In how many was can a committee of 5 be made out of 6 men and 4 women containing at least one women?

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There are 12 points in a plane. The number of the straight lines joining any two of them when 3 of them are collinear, is

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Three persons enter a railway compartment. If there are 5 seats vacant, in how many ways can they take these seats?

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There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two of them is

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There are 13 players of cricket, out of which 4 are bowlers. In how many ways a team eleven be selected from them so as to include at least two bowlers?