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 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 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?

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?

Out of 8 gentlemen and 5 ladies a committee of 5 is to be formed. Find the number of ways in which this can be done so as to include atleast 2 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 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.