In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
32
48
36
60
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1
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How many 3-digit 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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2
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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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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 fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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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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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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7
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If 18Cr = 18Cr+2 ; find rC5.
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8
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A number lock on a suitcase has 3 wheels each labeled with 10 digits from 0 to 9. If the opening of the lock is a particular sequence of three digits with no repeats, how many such sequences will be possible?
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9
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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10
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In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
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