## What is Permutation?

**A Permutation** is the arrangement of * “n-distinct”* objects taken

*at a time without regard given to the other of the arrangement.*

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**A Combination** is the selection of * “n-different”* objects taken

*at a time with attention given to the order of arrangement.*

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*kindly use the comment box below to ask a question*).### Questions on Permutation and Combination

- Evaluate the following

^{5}P_{4}^{6}P_{3}^{10}P_{7}

- Evaluate these

^{5}C_{4}^{6}C_{3}^{10}C_{7}

- In how many ways can twelve mathematics textbooks be arranged in a bookshelf taking two at a time?

- Five people attended a send-off party. If there are five seats, in how many ways could they be seated if they sit anyhow?

- In how many ways five identical physics textbooks, four chemistry textbooks, and two biology textbooks can be arranged?

- A committee comprises of three male and two female students are to be formed out of eight male and female students available. How many such committees could be formed.

- The Rector, her female secretary and five senior principal officers of the college were invited to a meeting. In how many ways can they be seated if;

- They can sit anyhow?
- The rector must seat next to her secretary?

- If there are ten men, seven women, six boys, and six girls. A committee consisting of five men, three women, two boys, and two girls is to be constituted. How many such committees could be formed if;

- There is no restriction?
- One man and one woman must be included?
- One man and one girl must be excluded?
- One woman and two boys must be included?

- In how many ways can ten different books be arranged on a bookshelf taking three at a time?

- A family has seven males and three female children. In how many ways can five males and two female children be selected to represent the family?

## Other Mathematics Questions

- Co-ordinate Geometry
- Linear Programming
- Set Theory
- Empirical Probability
- Integration & Vector Algebra
- Differentiation