Ten participants are participating in a competition. In how many ways can the first three prizes be won?
920
680
720
820
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1
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If (n + 2)! = 2550 (n!); find ’n’
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2
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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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3
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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4
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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5
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If C(n, 7) = C(n, 5), find n
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6
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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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7
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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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8
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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9
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In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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10
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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