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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1
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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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2
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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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3
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If C(n, 7) = C(n, 5), find n
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4
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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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5
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If P(A)=2/5, P(B)=3/10 and P(A ∩ B) =51, then P(A' | B'). P(B' | A') is equal to
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6
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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7
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In how many ways can the letters of the word 'LEADER' be arranged?
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8
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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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9
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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10
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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