How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
16
24
36
48
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1
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If C(n, 7) = C(n, 5), find n
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2
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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3
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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4
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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5
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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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6
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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7
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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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8
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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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9
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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10
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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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