In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?
50400
2430
6540
12800
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1
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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2
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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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3
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How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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4
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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5
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If ,, are probabilities of three mutually exclusive events, then
SolutionAnswer :1/2 
6
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A fiveletter word is to be formed from a group of 5 vowels and 4 consonants, using at least one vowel and at least one consonant. In how many ways the word having a greater number of consonants than vowels can be formed?
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7
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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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8
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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9
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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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10
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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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