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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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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2
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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3
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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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4
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If C(n, 7) = C(n, 5), find n
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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 a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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7
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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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8
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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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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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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