Respuesta :
Answer:
30
Step-by-step explanation:
we multiply each number. There are 3 pairs of pants 5 shirts and 2 pairs of shoes, so we multiply 3x5x2 to get 30
The number of different outfits that Jane has to choose from is 30
What is the rule of product in combinatorics?
If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in p×q ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
It is given that:
There are 3 pairs of pants, 5 shirts to choose from and 2 pairs of shoes to choose from.
One outfit would include one-one of these 3 things.
- Pants can be chosen in 3 ways
- Shirts can be chosen in 5 ways
- Shoes can be chosen in 2 ways.
Thus, they all together can be chosen in 3 × 5 × 2 = 30 ways.
So there are 30 different outfit that Jane has to choose from.
Learn more about rule of product combinations here:
https://brainly.com/question/2763785
