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Standard XI
Mathematics
Fundamental Principle of Counting
Given 5 fla...
Question
Given
5
flags of different colours, how many different signals can be generated if each signal requires the use of
2
flags, one below the other?
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Solution
Since, each signal requires the use of
2
flags.
There will be as many signals as there are ways of filling in
2
vacant place in succession by the given
5
flags of different colours.
The upper vacant place can be filled in
5
different ways by any one of the
5
flags .
The lower vacant place can be filled in
4
different ways by any one of the remaining
4
different flags.
Thus, by multiplication principle, the number of different signals that can be generated is
5
×
4
=
20
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