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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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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2
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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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3
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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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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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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6
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If 18Cr = 18Cr+2 ; find rC5.
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7
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In how many ways can 10 people line up at a ticket window of a railway station?
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8
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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9
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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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10
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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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