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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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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2
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is not a face card (Jack, Queen and King only)?
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3
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If a team of 4 persons is to be selected from 8 males and 8 females, then in how many ways can the selections be made to include at least 1 female
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4
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A polygon has 44 diagonals. What is the number of its sides?
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5
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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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6
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If (n + 2)! = 2550 (n!); find ’n’
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7
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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8
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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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9
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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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10
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If 18Cr = 18Cr+2 ; find rC5.
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