Maths-
General
Easy

Question

How many signals can be given by means of 10 different flags when at a time 4 flags are used, one above the other?

  1. 10P4    
  2. 10C4    
  3. 4    
  4. 40    

hintHint:

Use formula
space C presuperscript n subscript r space cross times space r factorial space equals space space P presuperscript n subscript r

The correct answer is: 10P4


    You are given 10 flags of different colors and you can give signals, but use only 4 flags.


    First you have to choose 4 flags from 10 flags
    This can be done in C presuperscript 10 subscript 4 space end subscript ways
    Among this 4 flags of different colors, 4! ways of different arrangements are possible
    So total number of signals = C presuperscript 10 subscript 4 x space 4 factorial
    S i n c e space C presuperscript n subscript r space cross times space r factorial space equals space space P presuperscript n subscript r
    
C presuperscript 10 subscript 4 x space 4 factorial equals equals P presuperscript 10 subscript 4

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