#### Topics

##### Sets and Relations

##### Functions

##### Complex Numbers 33

##### Sequences and Series

##### Locus and Straight Line

##### Determinants

##### Limits

##### Continuity

##### Differentiation

##### Partition Values

##### Measures of Dispersion

##### Skewness

##### Bivariate Frequency Distribution and Chi Square Statistic

##### Correlation

##### Permutations and Combinations

- Introduction of Permutations and Combinations
- Fundamental Principles of Counting
- Concept of Addition Principle
- Concept of Multiplication Principle
- Concept of Factorial Function
- Concept of Permutations
- Permutations When All Objects Are Distinct
- Permutations When Repetitions Are Allowed
- Permutations When All Objects Are Not Distinct
- Circular Permutations
- Properties of Permutations
- Concept of Combinations
- Properties of Combinations

##### Probability

##### Linear Inequations

##### Commercial Mathematics

#### description

**Properties of Permutations:**(i)^{n}P_{n}= n!

(ii)^{n}P_{0}= 1

(iii)^{n}P_{1}= n

(iv)^{n}P_{r}= n ×^{(n - 1)}P_{(r - 1)}= n(n -1) ×^{(n - 2)}P_{(r - 2)}

= n(n - 1)(n - 2) ×^{(n - 3)}P_{(r - 3)}and so on.

(v) `(np_r)/(np_(r - 1))= n - r + 1`.

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