There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
120
130
100
110
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1
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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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2
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A box contains 5 green, 4 yellow and 3 white marbles. three marbles are drawn at random. What is the probability that all they are not of the same colour?
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3
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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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4
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How many rectangles can be formed out of a chess board ?
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5
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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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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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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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8
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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9
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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10
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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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