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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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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2
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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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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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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5
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In how many ways the letters of the word “UNDERDOG” can be arranged such that the first and last letters are same and no two vowels are together?
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6
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If 18Cr = 18Cr+2 ; find rC5.
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7
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How many 4-letter 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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8
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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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9
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A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
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10
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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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