In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
10080
4989600
120960
None of these
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1
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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?
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2
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In how many ways can the letters of the word 'LEADER' be arranged?
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3
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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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4
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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5
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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6
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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7
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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8
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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9
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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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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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