Out of n students a committee of 12 students is formed in all possible ways. It is observed that the number of such committees containing 2 particular students A, B is 3 times the number of committees containing another 3 particular students D,E,F. Then n=

A committee of 11 members is to be formed from 8 males and 5 m=females. If m is the number of ways the committee is formed with at least 6 males and n is the number of ways the committee is formed with atleast 3 females, then

Out of 5 men and 2 women, a committee of 3 is to be formed. In how many ways can it be formed if at least one woman is to be included?

Out of the 12 professors a committee of 5 professors is to be formed . Find the number of ways in which this can be done if 3 particular professors is excluded ?

A guard of 12 men is formed from a group of n soldiers. It is found that 2 particular soldiers A and B are 3 times as often together on guard as 3 particular soldiers C, D & E . Then n is equal to

There are 10 professors and 20 students out of whom a committee of 2 professors and 3 students is to be formed. A)Find the number of ways in which this can be done. B) Further find in how many of these committees: A particular professor is included A particular student is included Particular student is excluded

A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. 220 b. 182 c. 226 d. none of these

Out of 5 men and 2 women a committee of 3 persons is to be formed so as to include atleast one woman. The number of ways in which it can be done is (i) 10 (ii) 25 (iii) 35 (iv) 45

A delegation of four students is to be selected from all total of 12 students. In how many ways can the delegation be selected. (a)If all the students are equally willing? (b)If two particular students have to be included in the delegation? (c)If two particular students do not wish to be together in the delegation? (d)If two particular students wish to be included together only in the delegation?

Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of (a) Number of students liking football to number of students liking tennis. (b) Number of students liking cricket to total number of students

In a class, the number of boys is 3/2 times the number of girls. If there are 55 students in the class, find the number of boys and girls in the class.