Question

1) You find a little worm with only 3 types of olfactory receptors, and each of these can either be stimulated 1) or not stimulated (0). How many different smells can the worm experience?

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Answer #1

Here you have to give all the combination possible for 3 factors:

The formula here is 23, because each time we have to sample a smell for each factor we have 2 options (1 or 0), and we have to sample 3 time (for the 3 receptors). So 23=8, and they are:

111

110

101

010

100

011

001

000

So the worm can smell 8 smells.

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