Permutation And Combination

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Aug

Index

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Jun

Examples(2)

(4) In how many ways 7 persons stand in a row, if three particular persons do not stand together ?

Soln. 7 persons can stand in a row in 7 ! = 5040 ways ––––––––– ( 1 )

Three particular person …

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Jun

Examples

(1) Evaluate : $\frac{20!}{17!}$

Soln. We have, $\frac{20!}{17!... </p> <div class=$

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05

Jun

Combination
☼ COMBINATION : When we have to choose a certain number of objects from a given set of objects in such a way that the order of selection is not important, the selection is known as a combination. Consider the following example…

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04

Jun

Circular Permutation
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☼ Circular Permutation : The total number of circular permutations of n distinct objects taken all at a time =

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04

Jun

Permutations
☼ PERMUTATIONS :   In the above example, 2 objects were selected from 3 objects in such a way that the order of the arrangements is important.

Now, if there were n = 10 objects and r = 3 objects were to be selected, then we …

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04

Jun

Definition of Fundamental principal of counting
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☼ Definition of Fundamental principal of counting :   If one operation can be performed in m ways and if corresponding to each of the m…

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04

Jun

Fundamental principal of counting
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☼ Fundamental principal of counting :   Let us consider the following situation. A man has two shirts and three trousers.

S₁ S

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04

Jun

Permutation And Combination
☼ Factorials :   Permutation and Combination is a topic which requires use of the concept of factorials. A factorial is the number obtained by multiplying all the positive integers less than or equal to a given positive integer. T…

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