In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
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1
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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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2
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If A and B are two independent events with P(A) = 3/5 and P(B) = 4/9 , then P(A' ∩ B' ) equals
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3
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If (n + 2)! = 2550 (n!); find ’n’
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4
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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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5
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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6
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From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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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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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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9
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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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10
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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