12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
10
11
54
48
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1
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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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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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A polygon has 44 diagonals. What is the number of its sides?
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4
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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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5
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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6
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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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7
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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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8
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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9
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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10
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How many rectangles can be formed out of a chess board ?
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