In how many ways can a team of 11 players be formed out of 25 players, if 6 out of them are always to be included and 5 always to be excluded a. `2020` b. `2002` c. `2008` d. `8002`

In how many ways can a committee of 3 men and 2 women be formed from a group of 5 men and 4 women if Mr. A is always included and Mrs. B is never included?

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

In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers?

How many strings of length 5 can be formed out of the letters of the word VIJAY taking all the letters at a time without repetition?

A person always prefers to eat parantha and vegetable dish in his meal. How many ways can he makes his platter in a marriage party if there are three types of paranthas, four types of vegetable dish, three types of salads and two types of sauces? a. 3360 b. 4096 c. 3000 d. none of these

In a group of 13 cricket players, 4 are bowlers. Find out in how many ways can they form a cricket team of 11 players in which at least 2 bowlers re included. a. 55 b. 72 c. 78 d. none of these

In a class of 10 boys and 6 girls, a team of 8 has to be formed with atleast 4 boys and atleast 4 girls with the condition that two girls are always included in the team. In how many ways the selection can be made?

In how many different ways can the first 12 natural numbers be divided into three different groups such that numbers in each group are in A.P.? a. 1 b. 5 c. 6 d. 4