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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1
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The number of circles that can be drawn out of 10 points of which 7 are collinear is
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2
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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3
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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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4
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A polygon has 44 diagonals. What is the number of its sides?
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5
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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6
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In how many ways can the letters of the word 'LEADER' be arranged?
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7
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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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8
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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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9
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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10
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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