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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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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2
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In how many ways can the letters of the word 'LEADER' be arranged?
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3
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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4
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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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5
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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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6
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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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7
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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8
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A five-letter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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9
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What is the sum of all 4 digit numbers that can be formed by the digits 1, 2, 3, 4 each exactly once
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10
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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