For which value of $n\in N, n!$ has $13$ trailing zeros?

Important Questions on Permutations and Combinations

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET 2018 (25-APR Shift-1)>Q 2

Let $\mathrm{S}=\{0,1,2,3,\dots ,100\}$. The number of ways of selecting $x, y\in \mathrm{S}$ such that $x\ne y$ and $x+y=100$ is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET - 20 Aug 2021 Forenoon>Q 3

In how many ways can $5$ balls be placed in $4$ tins if any number of balls can be placed in any tin?

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET 2018 (25-APR Shift-1)>Q 4

If all the seven letters of the word LEADING are permuted in all possible ways and the words thus formed are arranged as in the dictionary order, then the word in ${2017}^{\text{th }}$place is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET 2021 (19-Aug Forenoon)>Q 5

There are $7$ identical white balls and $3$ identical black balls. The number of distinguishable arrangements in a row of all the balls, so that no two black balls are adjacent is

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET 2021 (19-Aug Afternoon)>Q 6

For $1\le r\le n, \frac{1}{r+1}\left\{{}^n{P}_{r+1}-{}^{(n-1)}P_{r+1}\right\}$ is equal to

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET 2021 (19-Aug Afternoon)>Q 7

In how many ways can $9$ examination papers be arranged so that the best and the worst papers are never together?

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET - 20 Aug 2021 Forenoon>Q 8

The value of ${}^{6}P_4+4·{}^{6}P_3$ is ______.

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 16 - Permutations and Combinations>AP EAPCET - 20 Aug 2021 Forenoon>Q 9

The number of ways in which $3$ boys and $2$ girls can sit on a bench so that no two boys are adjacent is  ______