A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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2
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Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
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3
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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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4
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In how many ways can the letters of the word 'LEADER' be arranged?
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5
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In a single throw with four dice,the probability of throwing seven is
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6
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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7
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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8
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How many rectangles can be formed out of a chess board ?
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9
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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10
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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