francisco is trying to pick out an outfit for the first day of school. he can choose from 6 pairs of pants…

francisco is trying to pick out an outfit for the first day of school. he can choose from 6 pairs of pants, 2 t - shirts, and 2 pairs of shoes. how many different outfits does francisco have to choose from?

francisco is trying to pick out an outfit for the first day of school. he can choose from 6 pairs of pants, 2 t - shirts, and 2 pairs of shoes. how many different outfits does francisco have to choose from?

Answer

Explanation:

Step1: Use counting principle

The counting principle states that if there are $m_1$ ways to do one thing, $m_2$ ways to do a second thing, and $m_3$ ways to do a third thing, the total number of ways to do all three things together is $m_1\times m_2\times m_3$. Here, $m_1 = 6$ (pants), $m_2=2$ (t - shirts), $m_3 = 2$ (shoes).

Step2: Calculate the total number of outfits

$6\times2\times2=24$

Answer:

24