From 6 boys nd 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.

From 6 boys and 7 girls a committee of 5 is to be formed so as to include atleast one girl. The number of ways this can be done is

There are 5 boys and 6 girls.A committee of 4 is to be selected so that it must consist at least one boy and at least one girl?

From 8 boys and 5 girls, a delegation of 5 students is to be formed. Find the number of ways this can be done such that delegation must contain exactly 3 girls.

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

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?

Out of 7 men and 4 women,a committee of 5 is to be selected the number of ways in which this can be done so as to include at least two women is

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 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?