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?
63
90
126
45
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1
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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2
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If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25 ?
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3
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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4
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In a single throw with four dice,the probability of throwing seven is
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5
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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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6
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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7
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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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8
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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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9
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How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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10
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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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