# Roses 2

Aunt Rose went to the flower shop to buy a bouquet with three roses. The flower shop had white, yellow and red roses. How many different flowers bouquet can a flower make for Aunt Rose create? Write all the bouquet options.

Result

n =  10

#### Solution:

$C_{{ 3}}(5) = \dbinom{ 5}{ 3} = \dfrac{ 5! }{ 3!(5-3)!} = \dfrac{ 5 \cdot 4 } { 2 \cdot 1 } = 10 \ \\ \ \\ n = { { 3 } \choose 3+3-1 } = 10$

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