In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
63
90
126
45
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1
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There are 6 letters for 3 envelopes. In how many different ways can the envelopes be filled?
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2
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From among the 36 students in a class, one leader and one class representative are to be appointed. In how many ways can this be done?
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3
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How many 3digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated
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4
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Ten participants are participating in a competition. In how many ways can the first three prizes be won?
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5
Discuss

How many words, with or without meaning, can be formed using all letters of the word EQUATION using each letter exactly once?
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6
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How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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7
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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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8
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It is required to seat 5 boys and 4 girls in a row so that the girls occupy the even places. How many such arrangements are possible?
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9
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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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10
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The number of triangles that can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line, is
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