The number of signals that can be given using any number of flags of 5 different colors, is
A
225
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B
325
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C
215
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D
315
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Solution
The correct option is A325 Total number of signals can be made by using at a time one or more but not larger than five flags. Now number of signals when r flags are used at a time from 5 flags is equal to the number of arrangement of 5 taking r at a time i.e 5Pr(r=1,2,...5) ∴ Required ways 5P1+5P2+....+5P5 =5+20+60+120+120 =325