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Concept explainers
Calculate number of possible ways to select 3 from 12 different names of an envelope
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Answer to Problem 16PT
There are 220 possible ways to select 3 from 12 different names of an envelope.
Explanation of Solution
Given:
Envelope consist 12 different names, n = 12
Number of names required to selected, r = 3
Calculations:
Here, we have to calculate number of possible ways to select 3 from 12 different names of envelope.
A combination is nothing but selecting r number of objects from different n number of objects.
nCr=n!r!12C3=12×11×101×2×312C3=2×11×1012C3=220
There are 220 possible ways to select 3 manes from 12 different names of envelope.
Conclusion:
Therefore, we are able to calculate possible methods to select r numbers from given n numbers.
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