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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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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2
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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3
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A polygon has 44 diagonals. What is the number of its sides?
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4
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Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
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5
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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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6
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If
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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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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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9
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If A, B and C are mutually exclusive and exhaustive events of a random experiment such that P(B)=3/2P(A) and P(C)=1/2P(B), then P(A∪C)=
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10
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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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