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Re: A company wanted to assign color codes to its 24 offices. If either a [#permalink]
1
So, basically our aim should be to do the following

We're given that a distinct paint identifies each office (this can be a single colour or a combination of two colours), and we want to know the minimum number of colours we'll need to make sure that all such combinations of colour can at the very least, be >= 24

i.e.,

n + nC2 >= 24

n being 'n' single (distinct) colours, and nC2 being the paint made by combining 2 colours, which, when added, should be greater than the total number of offices I want to paint distinctly.

We already know, n is positive

Upon solving this, you'd get n>= 6.33 or so

and hence, our answer would be next integer = 7

Thanks

Sincerely

Daksh Kumar
Prep Club for GRE Bot
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