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# Algebra/Combination or binomial

Question
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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#### Scott A Wilson

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