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?
2880
2148
3280
3680
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1
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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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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 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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4
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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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5
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Find the probability that a leap year selected at random will contain 53 Sundays
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6
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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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7
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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
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8
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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9
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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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10
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In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
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