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?
1360
1060
1160
1260
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1
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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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2
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If
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3
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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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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12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
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6
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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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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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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9
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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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10
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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