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?
2880
2148
3280
3680
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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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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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3
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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4
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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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5
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How many rectangles can be formed out of a chess board ?
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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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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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8
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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9
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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10
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If (n + 2)! = 2550 (n!); find ’n’
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