Two stores offer differently priced sales for the same paper towels, according to the table below. Which store offers the better
2 answers:
Answer:
store 1 has the better deal.
Step-by-step explanation:
Two stores offer differently prices sales for the same paper towels.
Store 1 sells 15 paper towel rolls at the price = $3.60
The price of one paper towel roll = = $4.1666 ≈ $4.17
Store 2 sells 18 paper towel rolls at the price = $3.80
The price of one paper towel roll = = 4.7368 ≈ $4.74
Store 1 sells at $4.17 per paper towel and store 2 sells each towel at $4.74.
Therefore store 1 has the better deal.
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We're going to be using combination since this question is asking how many different combinations of 10 people can be selected from a set of 23.
We would only use permutation if the order of the people in the committee mattered, which it seems it doesn't.
Formula for combination:
Where represents the number of objects/people in the set and
represents the number of objects/people being chosen from the set
There are 23 people in the set and 10 people being chosen from the set
Usually I would prefer solving such fractions by hand instead of a calculator, but factorials can result in large numbers and there is too much multiplication. Using a calculator, we get
Thus, there are 1,144,066 different 10 person committees that can be selected from a pool of 23 people. Let me know if you need any clarifications, thanks!
~ Padoru