Three unbiased coins are tossed. What is the probability of getting at most two heads ?
3/4
1/4
3/8
7/8
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1
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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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2
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How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
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3
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In how many ways can the letters of the word 'LEADER' be arranged?
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4
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A, B, C, D and E sit on five chairs all of which are facing north. C will sit only on the leftmost chair and B will not sit anywhere to the left of A. In how many ways they can be seated?
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5
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One red flower, three white flowers, and two blue flowers are arranged in a line such that
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6
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If C(n, 7) = C(n, 5), find n
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7
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The number of circles that can be drawn out of 10 points of which 7 are collinear is
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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 a simultaneous throw of two dice, what is the probability of getting a total of 7?
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10
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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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