Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
120
90
180
192
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1
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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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10
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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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2
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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3
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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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4
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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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5
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There are 8 orators A, B, C, D, E, F, G, and H. In how many ways can the arrangements be made so that A always comes before B and B always comes before C.
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6
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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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7
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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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8
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A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?
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9
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A committee of 8 members is to be selected from a group of 12 male and 10 female members. In how many ways the committee is selected such that at most two and at least one male member are there in the committee?
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