Permutations and Combinations

Permutations and

Combinations

Quantitative Aptitude & Business Statistics

The Fundamental Principle of

Multiplication

? If there are

? n1 ways of doing one operation,

? n2 ways of doing a second

operation, n3 ways of doing a

third operation , and so forth,

Quantitative Aptitude & Business

Statistics:Permutations and Combinations

2

? then the sequence of k

operations can be performed in

n1 n2 n3¡­.. nk ways.

? N= n1 n2 n3¡­.. nk

Quantitative Aptitude & Business

Statistics:Permutations and Combinations

3

Example 1

? A used car wholesaler has agents

who classify cars by size (full,

medium, and compact) and age (0

- 2 years, 2- 4 years, 4 - 6 years,

and over 6 years).

? Determine the number of possible

automobile classifications.

Quantitative Aptitude & Business

Statistics:Permutations and Combinations

4

Solution 0-2

Full(F)

2-4

4-6

>6

0-2

2-4

4-6

>6

Medium

(M)

Compact

0-2

2-4

4-6

>6

(C)

The tree diagram enumerates all possible

classifications, the total number of which

is 3x4= 12.

Quantitative Aptitude & Business

5

Statistics:Permutations and Combinations

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