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 of ways in which he can select coins is 255, find the value of `ndot`

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 at least one book is 63, find the value of n.

There are p copies each of n different books. Find the number of ways in which a nonempty selection can be made from them.

Given that n is the odd the number of ways in which three numbers in A.P. can be selected from {1,2,3,4….,n} is

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

Eight questions are given , each question has an alternative Prove that the number of ways in which a student can select one or more Questions is (2^(8)-1) .

A bag contains n+1 coins. If is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is 7/12, then find the value of ndot

A 5-digit number is divisible by 3 and it is formed by using 0, 1, 2, 3, 4, and 5 without repetition. Find the total number of ways in which such a number can be formed ?

Find the number of ways in which one or more letters can be selected from the letters PPPQQQQRRRRRSTUV.

There are n seats round a table marked 1,2,3,…..n the number of ways in which m(len) persons can take seats is

Find the number of ways in which a selection of four letters can be made from the letters of the word "PROPORTION".