MEDIUM
JEE Main/Advance
IMPORTANT
Earn 100

Let denotes the number of ways of selecting people out of sitting in a row if no two of them are consecutive and is the corresponding figure when they are in a circle. If then is equal to

Important Questions on Permutation and Combination
MEDIUM
JEE Main/Advance
IMPORTANT
The number of ways selecting books from a library which has books each of Mathematics, Physics, Chemistry and English, if books of the same subject are alike, is then is equal to

MEDIUM
JEE Main/Advance
IMPORTANT
The number of three digit numbers of the form such that and is then is equal to

MEDIUM
JEE Main/Advance
IMPORTANT
In an examination, a candidate is required to pass in all the four subjects he is studying. The number of ways in which he can fail is

EASY
JEE Main/Advance
IMPORTANT
The kindergarten teacher has kids in her class. She takes of them at a time, to zoological garden as often as she can, without taking the same kids more than once. Then the number of visits, the teacher makes to the garden exceeds that of a kid by:

MEDIUM
JEE Main/Advance
IMPORTANT
A student has to answer out of questions in an examination. The number of ways in which he can answer if he must answer atleast of the first five questions is:

MEDIUM
JEE Main/Advance
IMPORTANT
Number of ways in which different numbers in can be selected from is

EASY
JEE Main/Advance
IMPORTANT
white identical coins and red identical coins are arranged in a straight line with identical coins on each side of a central mark. The number of ways of arranging the identical coins, so that the arrangements are symmetrical with respect to the central mark.

EASY
JEE Main/Advance
IMPORTANT
The number of ways in which students can be divided into three teams, one containing and others each, is
