From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least three men are in the committee. In how many ways can it be done?
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1
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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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2
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A coin is tossed 5 times. What is the probability that head appears an odd number of times?
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3
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How many rectangles can be formed out of a chess board ?
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4
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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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5
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A fiveletter 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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6
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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7
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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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8
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There are 20 people among whom two are sisters. Find the number of ways in which we can arrange them around a circle so that there is exactly one person between the two sisters.
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9
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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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10
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Six boys and 4 girls are to be seated in two separate rows with five chairs each, such that two particular girls are always together and all the girls are not in the same row. In how many ways can they be seated?
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