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tHE NO. OF DIFFERENT SIGNALS CAN BE GIVEN USING ANY NUMBER OF FLAGS FROM 4flags of different colour is? The answer is given as 64. Plz.explain...

tHE NO. OF DIFFERENT SIGNALS CAN BE GIVEN USING ANY NUMBER OF FLAGS FROM 4flags of different colour is?


The answer is given as 64.


Plz.explain...

Grade:12

2 Answers

Sona Srivastava
38 Points
12 years ago

signals using one flag = 4

signals using two flags = (4C2)(2!) .... 4C2-for choosing 2 flags and 2! for their arrangment

signals using three flags = (4C3)(3!)

signals using four flags = (4C4)(4!) 

adding all up gives 64  

Prasanjeet Mohanty Mohanty
37 Points
12 years ago

In giving a signal, the order of the placement of colours is important,i.e a red and blue signal is different than the blue and red signal. Hence the order is very important.

Therefore the required no. of ways=4P1 +4P2 +4P3 +4P4 =4+12+24+24=64

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