Really Fundamental

Probability Level 2

The flag of a newly formed forum is in the form of 3 blocks, each to be coloured differently. If there are 6 different colours on the whole to choose from, how many such designs are possible?


The answer is 120.

Swapnil Das by Swapnil Das , 20, India

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3 solutions

Since, in the beginning we have 6 colours, so there are six ways of choosing a colour.

Then, having chosen one colour, we are left with 5 colours to choose the second colour(as all the colours have to be distinct.

Proceeding similarly, we have 4 colours for the third block.

The no. of ways required is: 

                                   6 * 5 * 4 = 120.
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Abhishek Singh
Mar 25, 2018

since there are six(6) ways to fill the 1ST block five(5) ways to fill the 2nd block and four(4) ways to fill the 3rd block so the combination is= 6 * 5* 4= 120

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Prince Loomba
Jan 22, 2016

6P3=120 really fundamental!!!

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