Question 7 of 16
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Shampoo. A company wants to market different types of shampoo using color-coded bottles, lids, and label print. It has five different colors of lids, five different colors of bottles, and three different colors of print for the label available. How many different types of shampoo can the company package?
The company can package:
5 different colors of lids * 5 different colors of bottles * 3 different colors of print
= 75 different types of shampoo.
To find the number of different types of shampoo that the company can package, we need to multiply the number of options for each feature together.
First, we have five different colors of lids. Let's call this number L.
Next, we have five different colors of bottles. Let's call this number B.
Finally, we have three different colors of print for the label. Let's call this number P.
To find the total number of different shampoo types, we need to multiply L, B, and P together.
The formula for this is: Total number of shampoo types = L * B * P
Substituting the given numbers: Total number of shampoo types = 5 * 5 * 3
Calculating this: Total number of shampoo types = 75
Therefore, the company can package a total of 75 different types of shampoo using color-coded bottles, lids, and label print options.
To find the total number of different types of shampoo that the company can package, we can use the concept of permutations.
Since there are five different colors of lids, five different colors of bottles, and three different colors of print for the label, we can multiply the number of choices for each component to find the total number of combinations.
Number of lid colors = 5
Number of bottle colors = 5
Number of label print colors = 3
Total number of different types of shampoo = (Number of lid colors) x (Number of bottle colors) x (Number of label print colors)
= 5 x 5 x 3
= 75
Therefore, the company can package 75 different types of shampoo.