EASY
JEE Advanced
IMPORTANT
Earn 100

The total number of permutations of k different things, in a row, taken not more than r at a time (each thing may be repeated any number of times) is equal to

50% studentsanswered this correctly

Important Questions on Permutation and Combination

HARD
JEE Advanced
IMPORTANT
A person predicts the outcome of 20 cricket matches of his home team. Each match can result either in a win, loss or tie for the home team. The total number of ways in which he can make the predictions, so that exactly 10 predictions are correct, is equal to
MEDIUM
JEE Advanced
IMPORTANT
A team of four students is to be selected from a total of 12 students. The total number of ways in which a team can be selected such that two particular students refuse to be together and the other two particular students wish to be together only, is equal to
HARD
JEE Advanced
IMPORTANT
The total number of numbers that are less than 3·108 and can be formed using the digits 1, 2, 3, is equal to
HARD
JEE Advanced
IMPORTANT
Four couples (husband and wife) decide to form a committee of four members. The number of different committees that can be formed in which no couple finds a place, is
HARD
JEE Advanced
IMPORTANT
In an examination of 9 papers, a candidate has to pass in more papers than the number of papers in which he fails in order to be successful. The number of ways in which he can be unsuccessful, is
HARD
JEE Advanced
IMPORTANT
The number of 5-digit numbers that can be made using the digits 1 and 2 and in which at least one digit is different, is
HARD
JEE Advanced
IMPORTANT
In a club election, the number of contestants is one more than the number of maximum candidates for which a voter can vote. If the total number of ways in which a voter can vote be 62, then the number of candidates is
HARD
JEE Advanced
IMPORTANT
Two players P1 and P2 play a series of 2n games. Each game can result in either a win or loss for P1. Total number of ways in P1 which can win the series of these games, is equal to