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Permutations and Combinations

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
The number of permutations, of the digits 1, 2, 3, …..7 without repetition, which neither contain the string 153 nor the string 2467, is _______.
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The number of triplets (x, y, z). where x, y, z are distinct non negative integers satisfying x + y + z = 15, is
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The number of five digit numbers, greater than 40000 and divisible by 5, which can be formed using the digits 0, 1, 3, 5, 7...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
The number of arrangements of the letter of the word “INDEPENDENCE” in which all the vowels always occur together is-
JEE Main Mathematics Easy
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Q JEE MAIN 2023
The number of ways, in which 5 girls and 7 boys can be seated at a round table so that no two girls sit together,...
JEE Main Mathematics Easy
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Q JEE-Main 2023
The number of ways of giving 20 distinct oranges to 3 children such that each child gets atleast one orange is_________
JEE Main Mathematics Easy
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Q JEE-Main 2023
If ${ }^{2 n} C_3 \cdot{ }^n C_3=10: 1$, then the ratio $\left(n^2+3 n\right):\left(n^2-3 n+4\right)$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2024
The number of ways of getting a sum 16 on throwing a dice four times is
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The number of 3-digit numbers, formed using the digits 2, 3, 4, 5 and 7, when the repetition of digits is not allowed, and which...
JEE Main Mathematics Medium
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Q JEE-Main
The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon...
JEE Main Mathematics Easy
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