A polygon has 44 diagonals. What is the number of its sides?
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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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2
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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3
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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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4
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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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5
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
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6
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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7
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How many 4letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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8
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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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9
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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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10
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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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