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?
3/44
3/55
52/55
41/44
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1
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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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10
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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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2
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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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3
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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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4
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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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5
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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6
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How many four-digit numbers, each divisible by 4 can be formed using the digits 5, 6, 7, 8, 9, repetition of digits being allowed in any number?
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7
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If 18Cr = 18Cr+2 ; find rC5.
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8
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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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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