in how many ways can a party of 4 or more be selected from 10 persons?

In how many ways can a party of 6 men be selected out of 10 Hindus, 8 Muslims, and 6 Christians, if the party consists of atleast one person of each religion? Find the number of ways of selection. (Consider only the religion of the person).

In how many ways can a party of 6 men be selected out of 10 Hindus,8 Muslims,and 6 Christians? If the party consists of at least one person of each religion,find the number of ways of selection.(Consider only the religion of the person).

In how many ways can a party of 6 men be selected out of 10 Hindus, 8 Muslims, and 6 Christians, if the party consists of atleast one person of each religion? Find the number of ways of selection. (Consider only the religion of the person).

In how many ways can a party of 6 men be selected out of 10 Hindus, 8 Muslims, and 6 Christians? If the party consists of at least one person of each religion, find the number of ways of selection. (Consider only the religion of the person).

In how many ways can a committee of 4 be selected out of 12 persons so that a particular person may always be taken.

In how many ways can a committee of 4 be selected out of 12 persons so that a particular person may never be taken?

In how many ways can a committee be selected from 15 persons if the committee is to have : 3 members.

In how many ways can a committee be selected from 15 persons if the committee is to have : 13 members.

In how many ways can one or more fruits be selected from 4 apples ,5 oranges and 3 mangoes , if the fruits of the same kind be of the same shape ?

In how many ways can 4 persons be selected from amongst 9 persons ? How many times will a particular person be always selected?