There are 10 persons including 3 ladies. A committee of 4 persons including atleast one lady is to be formed. The number of ways of forming such a committee is

There are 5 teachers and 20 students. Out of them a committee of 2 teachers and 3 students is to be formed. Find the number of ways in which this can be done. Further find in hdw many of these committees. Q a particular teacher is included?

There are 5 teachers and 20 students. Out of them a committee of 2 teachers and 3 students is to be formed. Find the number of ways in which this can be done. Further find in hdw many of these committees. Q a particular student is excluded?

There are 5 teachers and 20 students . Out of them a committee of teachers and 3 students is to be formed. Find the number of ways in which this can be done. Further find in how many of these committees (a) a particular teacher is included ? (ii) a particular student is excluded ?

A committee of 5 persons is to be formed from 7 men and 3 women. i. Find the number of ways to form the committee so that it contains 5 men. ii. Find the number of ways to form the committee so that it contains 4 men and 1 women. iii. Find the number of ways to form the committee so that it contains atleast 1 women.

The number of ways of choosing 5 cards out of a deck of 52 which include at least one king is

4 boys and 4 girls form a line with the boys and girls alternating . Find the number of ways of making this line .