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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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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Find the probability that a leap year selected at random will contain 53 Sundays
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3
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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4
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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5
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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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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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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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8
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If (n + 2)! = 2550 (n!); find ’n’
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9
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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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10
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
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