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Permutations and Combinations

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
The sum of all the 4-digit distinct numbers that can be formed with the digits 1, 2, 2 and 3 is:
JEE Main Mathematics Medium
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Q JEE MAIN 2021
A natural number has prime factorization given by $\mathrm{n}=2^{\mathrm{x}} 3^{\mathrm{y}} 5^{\mathrm{z}}$, where y and z are such that $\mathrm{y}+\mathrm{z}=5$ and $\mathrm{y}^{-1}+\mathrm{z}^{-1}=\frac{5}{6}$, $\mathrm{y}>\mathrm{z}$. Then the number...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The number of seven digit integers with sum of the digits equal to 10 and formed by using the digits 1,2 and 3 only is
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The total number of numbers, lying between 100 and 1000 that can be formed with the digits 1, 2, 3, 4, 5, if the repetition...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The total number of positive integral solutions (x, y, z) such that xyz = 24 is :
JEE Main Mathematics Medium
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Q JEE MAIN_2022
The number of 5-digit natural numbers, such that the product of their digits is 36, is
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Q JEE MAIN 2022
The letters of the word ‘MANKIND’ are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The total number of four digit numbers such that each of the first three digits is divisible by the last digit, is equal to ______...
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Q JEE MAIN 2022
The total number of 3–digit numbers, whose greatest common divisor with 36 is 2, is ______ .
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9...
JEE Main Mathematics Hard
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