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  • How many total number of signals can be made by five flags of a different colour when any number of them may be used in any signal?  Option: 1</st

How many total number of signals can be made by five flags of a different colour when any number of them may be used in any signal?

 

Option: 1

400


Option: 2

225


Option: 3

325


Option: 4

620


Answers (1)

best_answer

Case I: When only one flag is used. No. of signals made = 5 P_1=5
Case II: When only two flags are used. Number of signals made = 5 P_2=5 \times 4=20
Case III: When only three flags are used. Number of signals is made =5 P_3=5 \times 4 \times 3=60
Case IV : When only four flags are used. Number of signals made =
5 P_4=5 \times 4 \times 3 \times 2=120
Case V : When five flags are used. Number of signals made = 5 P_5=5 !=120

Hence, required number = 5+20+60+120+120=325

 

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