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Alice wants to work any 2 days in the week, except Sunday. In how many ways can she choose which days to work?

A. 15
B. 30
C. 12
D. 36

Answer :

Final answer:

Alice can choose which days to work in 15 different ways. This is calculated using combinations, as she has six days to choose from (excluding Sunday). The correct answer is 15.


Explanation:

Calculating Workdays

Alice wants to choose 2 days to work out of the week, specifically excluding Sunday.

First, we need to determine how many days she has to choose from. Since there are 7 days in a week and she is excluding Sunday, Alice has:

  • Monday
  • Tuesday
  • Wednesday
  • Thursday
  • Friday
  • Saturday

This gives her a total of 6 days to choose from.

To find the number of combinations of choosing 2 days from these 6 days, we can use the combination formula:

C(n, k) = n! / (k!(n-k)!)

Where:

  • n = total number of days available (6)
  • k = number of days to choose (2)

Now applying the numbers:

C(6, 2) = 6! / (2!(6-2)!) = (6 × 5) / (2 × 1) = 15

Therefore, the number of ways Alice can choose which days to work is 15.


Learn more about combinations here:

https://brainly.com/question/30646507


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