From 6 boys and 7 girls a committee of 5 is to be formed so as to include at least one girl. Find the number of ways in which this can be done.

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 group of 2n students consisting of n boys and n girls are to be arranged in a row such that adjacent members are of opposite sex. The number of ways in which this can be done is

Out of 6 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady in each commiittee?

12 boys and 2 girls are to be seated in a row such that there are atleast 3 boys between the 2 girls. The number of ways this can be done is lamdaxx12! . The value of lamda is

A committee of 5 is to be formed from 9 ladies and 8 men. If the committee commands a lady majority, then the number of ways this can be done is

From 8 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done so as to include at least one lady?

Five boys and five girls form a line with the boys and girls alternating. Find the number of ways of making the line.

A committee of 6 is to be formed out of 4 boys and 6 girls. In how many ways can it be done so that the girls may not be out numbered?

From 6 gentlemen and 4 ladies a committee of 5 is to be formed. In how many ways can this be done if,( i). there is no restriction (ii). the committee is to include at least one lady.

A committee of 4 is to be selected from amongest 5 boys and 6 girls . In how many ways can this be done so as to include (i) exacity one girls ,(ii) at least one girl?