How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
91
71
51
81
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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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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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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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A polygon has 44 diagonals. What is the number of its sides?
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5
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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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6
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Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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7
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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8
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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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9
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A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
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10
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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