A team of four students is to be selected from a total of 12 students. The total number of ways in which the team can be selected such that two particular students refuse to be together and other two particular students wish to be together only is equal to a. `220` b. `182` c. `226` d. none of these

Number of ways in which 15 different books can be arraged on a shelf so that two particular books shall not be together is

The number of ways in which seven persons can be arranged at a round table if two particular persons may not sit together, is

A delegation of four students is to be selected from al total of 12 students. In how many says can the delegation be selected. if all the students are equally willing? if two particular students have to be included in the delegation? if two particular students do not wish to be together in the delegation? if two particular students wish to be included together only in the delegation? if two particular students refuse to be together and two other particular students wish to be together only in the delegation?

A delegation of four students is to be selected from all total of 12 students. In how many ways can the delegation be selected. (a)If all the students are equally willing? (b)If two particular students have to be included in the delegation? (c)If two particular students do not wish to be together in the delegation? (d)If two particular students wish to be included together only in the delegation?

The number of ways in which 12 students can be equally divided into three groups is

A student is allowed to select at most n books from a collection of (2n+1) books .If the total number of ways in which he can select books is 63 find the value of n.

Prove that the number of ways in which n books can be placed on a shelf when two particular books are never together is ( n-2) xx (n-1) !

The number of ways in which six boys and six girls can be seated at a round table so that no two girls sit together and two particular girls do not sit next to a particular boy is

The total number of ways in which four boys and four girls can be seated around a round table, so that no girls sit together is equal to

A student is allowed to select at most n books from a collection of (2n+1) books. If the total number of ways in which a student selects at least one book is 63. then n equals to -