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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1
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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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2
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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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3
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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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4
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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5
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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6
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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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7
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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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8
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A polygon has 44 diagonals. What is the number of its sides?
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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 rectangles can be formed out of a chess board ?
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