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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 +1

c)2^n -1

d)none of these

I cant figure out whether to include nC0 0r not.

Hi Animesh,

We know the identity;

nC0 + nC1 + nC2 + ....... + nCn-1 + nCn = 2^n

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

nC1 + nC2 + ....... + nCn-1 + nCn (we leave out nC0 since its an empty set)

= 2^n - nC0

= 2^n - 1

Regards

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Comment | Thanks for clearing the doubt Ahmed. |

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