Ten participants are participating in a competition. In how many ways can the first three prizes be won?
920
680
720
820
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1
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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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2
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How many 5 digit even numbers with distinct digits can be formed using the digits 1, 2, 5, 5, 4?
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3
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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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4
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A fair coin is tossed 5 times. What is the probability of getting at least three heads on consecutive tosses?
Solution 
5
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A, B, C, and D are four points, any three of which are noncollinear. Then, the number of ways to construct three lines each joining a pair of points so that the lines do not form a triangle is
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6
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In how many ways can 10 people line up at a ticket window of a railway station?
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7
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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
Solution 
8
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
Solution 
9
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Two variants of the CAT paper are to be given to 12 students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant. Find the number of ways this can be done
Solution 
10
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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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