A man 22 shirts, 6 pairs of pants and 5 pairs of shoes. How many different outfits, consisting of one shirt, one pair of pants and one pair of shoes are possible?
660
The best way to calculate this would be by simply going from the smallest number to the biggest number if that makes sense. I suggest you work this one out yourself, but if you truly need help I would be happy.
To determine the number of different outfits possible, we need to multiply the number of choices for each item together.
The man has 22 shirts, 6 pairs of pants, and 5 pairs of shoes.
To choose an outfit, we can select one shirt out of the 22 available options. Therefore, there are 22 choices for the shirt.
For the pants, we can choose one pair out of the 6 available options, which gives us 6 choices for the pants.
Similarly, for the shoes, we have 5 pairs of shoes, so we have 5 choices for selecting a pair of shoes.
To find the total number of different outfits, we can multiply the number of choices for each item together: 22 * 6 * 5 = 660.
Therefore, there are 660 different outfits consisting of one shirt, one pair of pants, and one pair of shoes, that are possible for the man.