In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
266
5040
11760
86400
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1
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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2
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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3
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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4
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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5
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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6
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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7
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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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8
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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9
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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10
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If ^{18}C_{r }= ^{18}C_{r+2 }; find ^{r}C_{5}.
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