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the total number of ways of forming groups by taking any number from n distinct objects is -

a)2^n

b)2^n +

c)2^n -

d)none of these

I cant figure out whether to include nC0 while calculating or not.

What this says is that each object in the set can be looked at.

There are 2 choices for each object - it is in the set or not.

If we had one, there would be 2 choices.

If we had two, there would be 2 choices for each, for a total of 4.

Using this, for each one added, there are twice as many.

This means it is 2^n.

Algebra

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