First slide

Combinations

Question

There are 2n things out of which ‘n’ are alike and ‘n’ are different, the number of ways of selecting ‘n’ things is

Easy

A

_{$^{2n} c_{n}$}
B

_{$2^{n} - 1$}
C

_$2^{n}$
D

_$n$

Solution

We can select any no of things from n alike things in only 1 way
If we select p things from n alike things, ,then we have to select _{$n - p$} things from n different things

_{$=^{n} c_{0} +^{n} c_{1} + - - - - +^{n} c_{n} = 2^{n}$}

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