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A new flag has been designed with 6 vertical strips using some or all of the colors yellow,green,blue and red.In how many ways this can be done so that no 2 adjcent strips have same colour.

 Jan 17, 2021
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A new flag has been designed with 6 vertical strips using some or all of the colors yellow,green,blue and red.In how many ways this can be done so that no 2 adjcent strips have same colour.     

 

4 x 3 x 3 x 3 x 3 x 3  =  972     

 

How that was determined:     

1st stripe     -  4 possibilities     

2nd stripe    -  3 possibilities     

3rd stripe     -  3 possibilities     

4th stripe     -  3 possibilities     

5th stripe     -  3 possibilities     

6th stripe     -  3 possibilities     

.     

 Dec 14, 2025

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