A toy box contains 6 different cars, 5 different trucks and 4 different motorcycles. In how many ways can a person select one item from each category. ( a car, a truck, a motorcycle)
A. 120
B. 15
C. 110
D. 49
A) 120
Because 5 times 4 times 6 equals 120
seriously? but what about C(6,1) + C(5,1) + C(4,1) = 15?
To solve this problem, we can use the principle of counting or the multiplication principle.
According to the multiplication principle, if we have n choices for the first category, m choices for the second category, and k choices for the third category, then the total number of ways to select one item from each category is n x m x k.
In this case, we have 6 different cars, 5 different trucks, and 4 different motorcycles. Using the multiplication principle, we can calculate the total number of ways to select one item from each category as follows:
Total number of ways = 6 x 5 x 4 = 120
Therefore, the correct answer is A. 120.