There are seven pairs of black shoes and five pairs of white shoes. They are all put into a box and shoes are drawn one at a time. To ensure that at least one pair of black shoes are taken out, what is the number of shoes required to be drawn out?
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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2
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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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3
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A box contains two white balls, three black balls and four red balls. Balls of the same colour are distinct. The number of ways in which three balls can be drawn from the box if atleast one black ball is to be included in the draw, is
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4
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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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5
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In a single throw with four dice,the probability of throwing seven is
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6
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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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7
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Three chairs are arranged in a row facing three other chairs. 4 boys and 2 girls are to be seated on these chairs such that girls are always facing each other. In how many ways can they be seated?
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8
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
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9
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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10
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In a simultaneous throw of two dice, what is the probability of getting a total of 7?
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