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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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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2
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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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3
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The number of circles that can be drawn out of 10 points of which 7 are collinear is
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4
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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5
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A polygon has 44 diagonals. What is the number of its sides?
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6
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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7
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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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8
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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9
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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10
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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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