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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If (n + 2)! = 2550 (n!); find ’n’
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2
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If
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3
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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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4
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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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5
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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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6
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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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7
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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8
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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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9
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The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
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10
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In a single throw with four dice,the probability of throwing seven is
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