There are $2$ red balls and $3$ green balls. All balls are identical except colour. In how many ways can a person select two balls ?

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Solution

There are only $3$ ways of selection, since balls of same color are identical.
He can select either $2$ red balls, $1$ red ball and $1$ green ball or $2$ green balls.

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There are 2 red balls and 3 green balls. All balls are identical except colour. In how many ways can a person select two balls ?

There are only 3 ways of selection, since balls of same color are identical.He can select either 2 red balls, 1 red ball and 1 green ball or 2 green balls.

There are $2$ red balls and $3$ green balls. All balls are identical except colour. In how many ways can a person select two balls ?

There are only $3$ ways of selection, since balls of same color are identical.
He can select either $2$ red balls, $1$ red ball and $1$ green ball or $2$ green balls.