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?
72
96
132
144
None of these
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1
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In how many ways can the letters of the word 'LEADER' be arranged?
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2
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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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3
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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4
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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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5
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There are three rooms in a motel: one single, one double, and one for four persons. How many ways are there to house seven persons in these rooms?
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6
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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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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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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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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10
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If 18Cr = 18Cr+2 ; find rC5.
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