Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
3/20
29/34
47/100
13/102
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1
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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2
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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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3
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If (n + 2)! = 2550 (n!); find ’n’
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4
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Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
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5
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From a pack of 52 playing cards, two cards are drawn together at random. Calculate the probability of both the cards being the Kings.
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6
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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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7
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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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8
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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9
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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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10
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In a single throw with four dice,the probability of throwing seven is
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