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A florist is working on a wedding bouquet that uses $3$ different types of flowers. In how many different orders can the various types of flowers be added to the bouquet? $\newline$ $\_\_\_\_$ orders

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Full solution

Q. A florist is working on a wedding bouquet that uses

3

different types of flowers. In how many different orders can the various types of flowers be added to the bouquet?

\newline

\_\_\_\_

orders

Identify Flower Types: Identify the number of different types of flowers. The florist is using $3$ different types of flowers for the wedding bouquet.
Determine Order Possibilities: Determine the number of different orders in which these flowers can be added. $\newline$ Since there are $3$ different types of flowers, we need to find the number of permutations of these $3$ items, which is given by $3!$ ( $3$ factorial).
Calculate $3!$ : Calculate the value of $3!$ . $\newline$ Number of orders = $3!$ $\newline$ = $3 \times 2 \times 1$ $\newline$ = $6$

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