HARD
JEE Advanced
IMPORTANT
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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

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Important Questions on Permutation and Combination

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
HARD
JEE Advanced
IMPORTANT
In the decimal system of numeration, the number of 6 digit numbers in which the sum of digits is divisible by 5, is
HARD
JEE Advanced
IMPORTANT
The number of possible outcomes in a throw of n ordinary dice in which at least one of the dice shows an odd number, is
HARD
JEE Advanced
IMPORTANT
The number of different matrices that can be formed with elements 0, 1, 2 or 3, each matrix having 4 elements, is
HARD
JEE Advanced
IMPORTANT
There are 20 questions in a question paper. If no two students solve the same combination of questions but solve an equal number of questions, then the maximum number of students who appeared in the examination, is
EASY
JEE Advanced
IMPORTANT
The number of different pairs of words  ,  that can be made with the letters of the word 'STATICS' is