Question

ryans mom is taking him to the toy store to buy him rewards for getting good grades in school. his mom told him that he could choose a lego set, an action figure, and a toy car. if there are 6 types of lego sets, 10 types of action figures, and 7 types of toy cars in the store, how many possible ways can ryan choose?

Explanation:

Step1: Apply multiplication principle

The multiplication principle states that if there are \(m\) ways to do one thing, \(n\) ways to do a second thing, and \(p\) ways to do a third thing, then there are \(m\times n\times p\) ways to do all three things together. Here, \(m = 6\) (Lego - sets), \(n=10\) (action - figures), and \(p = 7\) (toy - cars).
\[6\times10\times7\]

Step2: Calculate the product

\[6\times10\times7=60\times7 = 420\]

Answer:

420