Question

Jeanine Baker makes floral arrangements. She has 11 different cut flowers and plans to use 5 of them. How many different selections of the 5 flowers are possible?

Answer 1

She has 11 different cut flowers and plans to use 5 of them.

`\begin{gathered} ^nC_r\text{ = }(n!)/((n-r)!* r!) \\ \end{gathered}`

Here, 5 selections are made out of 11 .

`\begin{gathered} n\text{ = 11} \\ r\text{ = 5} \end{gathered}`

Substituting the values in the formula,

`\begin{gathered} ^(11)C_5\text{ = }(11!)/((11-5)!*5!) \\ ^(11)C_5\text{ = }\frac{11!}{6!\text{ }*\text{ 5!}} \\ ^(11)C_5\text{ = }462 \end{gathered}`

Thus there are 462 selections possible .