Question

a boy owns 2 pairs of pants, 6 shirt, 8 ties, and 2 jackets. how many different outfits can he wear to school if he must wear one of each item

Answer 1

Solution

The boy owns 2 pairs of pants, 6 shirts, 8 ties, and 2 jackets.

To know how many different outfits can he wear to school if he must wear one of each item​

We can use combination to solve this

$\begin{gathered} ^{2_{}}C_{1\text{ }}\times^{}^{6_{}}C_{1\times\text{ }}^{8_{}}C_{1\text{ }}\times^{2_{}}C_{1\text{ }} \\ =2\times6\times8\times2 \\ =192 \end{gathered}$

The Final is 192