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 ways can the letters of the word 'LEADER' be arranged?
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2
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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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3
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How many words can be formed from the letters of the word "SIGNATURE" so that vowels always come together.
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4
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Three unbiased coins are tossed. What is the probability of getting at most two heads ?
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5
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What is the probability of getting at least one six in a single throw of three unbiased dice?s
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6
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How many numbers can be formed from 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
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7
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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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8
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In a single throw with four dice,the probability of throwing seven is
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9
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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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10
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
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