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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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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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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3
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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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4
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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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5
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6
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There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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7
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In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
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8
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In how many ways can 10 people line up at a ticket window of a railway station?
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9
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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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10
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In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
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