12 person are seated at a round table. Number of ways of selecting 2 persons not adjacent to each other is
10
11
54
48
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1
Discuss

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?
Solution 
2
Discuss

Find the number of ways in which mixed double tennis game can be arranged amongst 9 married couples if no husband and wife play in the same game
Solution 
3
Discuss

The number of circles that can be drawn out of 10 points of which 7 are collinear is
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4
Discuss

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Solution 
5
Discuss

A basketball team of 5 players is to be selected from a group of 10 men and 8 women players. A volley ball team of 6 players is to be selected from a group of 8 men and 7 women players. Find the difference in the number of ways in which both the teams are selected, given that each team has only 2 female players.
Solution 
6
Discuss

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
Solution 
7
Discuss

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together
Solution 
8
Discuss

Four letters are selected from the word “CAPAME” and are rearranged to form four letter words. How many words can be formed?
Solution 
9
Discuss

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?
Solution 
10
Discuss

How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines?
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