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How many different signals can be given by using any number of

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How many different signals can be given by using any number of flags from six flags of different colors?

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How many different signals can be given by using any number of flags from six flags of different colors?

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Text solutionVerified

By alteration in the arrangement of flags, the signals will change. So we have to find permutations i.e. arrangements of flags. We are at liberty to use any number of flags at a time. Therefore the required number of signals is

^{6} P_{1}

+

^{6} P_{2}

+

^{6} P_{3}

+

^{6} P_{4}

+

^{6} P_{5}

+

^{6} P_{6}

= 6 + 30 + 120 + 360 + 720 + 720 = 1956.

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Question Text	How many different signals can be given by using any number of flags from six flags of different colors?
Answer Type	Text solution:1
Upvotes	150