Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
120
90
180
192
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1
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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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2
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If C(n, 7) = C(n, 5), find n
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3
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The value of ^{75}P_{2}
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4
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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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5
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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6
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A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
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7
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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8
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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9
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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10
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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