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 6 persons stand in a queue?

In how many ways can a committee of 3 men and 2 women be selected out of 7 men and 5 women?

In how many ways can a team of 6 horses be selected out of a stud of 16, so that there shall always be three out of A B C A' B' C', but never A A', B B' or C C' together a. 840 b. 1260 c. 960 d. 720

(i) A person went to a restaurant for dinner. In the menu card, the person saw 10 Indian and 7 Chinese food items. In how many was the person can select either an Indian or a Chinese food? (ii) There are 3 typesof toy car and 2 types of toy train available in a shop. Find the number of ways a baby can buy a toy car and a toy train? (iii) How many of two-digit numbers can be formed using 1,2,3,4,5 without repetiton of digits? (iv) There persons enter in to a conference hall in which there are 10 seats, In how many ways they can take their place? (v) In how many ways 5 persons can be seated in a row?

In how many ways, two different natural numbers can be selected, which less than or equal to 100 and differ by at most 10.

Out of 10 white, 9 black, and 7 red balls, find the number of ways in which selection of one or more balls can be made (balls of the same color are identical).

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the sailors can be arranged on the boat.

From a basket which has 10 oranges, one is rotten. We choose 3 oranges simultaneously. Find the number of ways in which we select only good oranges.

A person is permitted to selected at least one and at most n coins from a collection of (2n+1) distinct coins. If the total number o ways in which he can select coins is 255, find the value of ndot

Find the number of ways of selecting 9 ball from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls of each colour.