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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A teacher has to choose the maximum different groups of three students from a total of six students. Of these groups, in how many groups there will be included in a particular student?
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2
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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3
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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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4
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How many 4letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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5
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In how many ways can the letters of the word 'LEADER' be arranged?
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6
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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7
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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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8
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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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9
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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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10
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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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