How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
16
24
36
48
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1
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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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2
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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3
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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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4
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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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5
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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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6
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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7
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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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8
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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9
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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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10
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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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