How many different floral bouquet can you make if one contains 5 of 7 available flowers?

To determine the number of different floral bouquets you can make with 5 out of 7 available flowers, you would use the combination formula, which is given by ( C(n, k) = \frac{n!}{k!(n-k)!} ). Here, ( n ) is the total number of flowers (7), and ( k ) is the number of flowers to choose (5). Thus, the calculation is ( C(7, 5) = \frac{7!}{5! \cdot 2!} = \frac{7 \times 6}{2 \times 1} = 21 ). Therefore, you can create 21 different floral bouquets.