Get detailed and accurate answers to your questions on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.
Sagot :
Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.
What is the Fundamental Counting Theorem?
It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
- For the meat, there are 3 outcomes, hence [tex]n_1 = 3[/tex].
- For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula, [tex]n_2 = C_{6,2} = \frac{6!}{2!4!} = 15[/tex].
- For the dessert, there are 4 outcomes, hence [tex]n_3 = 4[/tex].
Then:
[tex]N = n_1n_2n_3 = 3(15)(4) = 180[/tex]
She can choose 180 different meals.
To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.