If (n + 2)! = 2550 (n!); find ’n’
49
35
38
43
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1
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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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2
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Find the probability that a leap year selected at random will contain 53 Sundays
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3
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Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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4
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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5
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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6
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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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7
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If
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8
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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9
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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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10
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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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