If C(n, 7) = C(n, 5), find n
12
15
18
1
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1
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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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2
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How many integers between 1000 and 10000 have no digits other than 4, 5, or 6?
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3
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A polygon has 44 diagonals. What is the number of its sides?
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4
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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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5
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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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6
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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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7
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In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?
Solution 
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?
Solution 
9
Discuss

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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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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