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?
7! / 1! 2! 3!
7!
7! / 3
7! / 3!
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1
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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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2
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How many rectangles can be formed out of a chess board ?
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3
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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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4
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How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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5
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Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is
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6
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A five-letter 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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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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8
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A speaks truth in 75% cases and B in 80% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident?
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9
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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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10
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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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