Find the probability that a leap year selected at random will contain 53 Sundays
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1
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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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How many natural numbers can be made with digits 0, 7, 8 which are greater than 0 and less than a million?
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3
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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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4
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The students in a class are seated, according to their marks in the previous examination. Once, it so happens that four of the students got equal marks and therefore the same rank. To decide their seating arrangement, the teacher wants to write down all possible arrangements one in each of separate bits of paper in order to choose one of these by lots. How many bits of paper are required?
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5
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A polygon has 44 diagonals. What is the number of its sides?
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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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In how many ways can a cricketer can score 200 runs with fours and sixes only?
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8
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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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9
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A biased coin in tossed thrice. What is the probability that heads turns out at least twice considering that the probability of a head is 60%?
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10
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Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
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