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?
72
96
132
144
None of these
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1
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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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2
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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3
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If C(n, 7) = C(n, 5), find n
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4
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How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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5
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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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6
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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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7
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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8
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Find the probability that a leap year selected at random will contain 53 Sundays
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9
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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10
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A, B, C, and D are four points, any three of which are non-collinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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