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Question

How many different signals can be made by 5flags from 8flags of different colors?


A

10

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B

6720

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C

20

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D

None of these

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Solution

The correct option is B

6720


Find the number of different signals :

Here we have to arrange 8flags taken 5flags at a time which is equivalent to filling 8flags placed out of 5flags. For that, we have the formula of permutation:

Prn.

Number of different signals made by 5 flags from 8 different colored flags =P58

=8!(8-5)!=8!3!=8×7×6×5×4=6720

Therefore the required number of signals can be made by 5flags from 8flags of different colors is 6720.

Hence, the correct option is B.


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