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nCr Definitions and Properties

Number of way...

Question

Number of ways of selecting $r$ things from $n$ identical things is

A

1

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B

^{n} C_{r}

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C

n^{r}

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D

2

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Solution

The correct option is A $1$
number of things $= n$
number of things to be selected $= r$
Given $n$ things are similar
$\Rightarrow$ Any number of groups of selection from identical things is always the same
$\Rightarrow$ number of ways of selection $= 1$

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