From 7 gentlemen and 5 ladies, a boat party of 5 is to be formed. In how many ways can it be done so as to include atleast one lady?

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?

From 7 gentlemen and 4 ladies a committee of 5 is to formed. In how many ways can this be done so as to include at least one lady?

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 ladies committee of 5 is to be formed. In how many ways can this be done so as to include at least 3 ladies?

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.

From 8 gentlemen and 5 ladies, a committee of 4 is to be formed. In how many ways can this be done. (a) when the committee consists of exactly three gentlemen? (b) when the committee consists of at most three gentlemen?

Out of 7 gents and 4 ladies a committee of 5 is to be formed.The number of committees such that each committee includes at least one lady is

Out of 5 men and 2 2omen,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?