Question 169245This question is from textbook Mathematics All Around
: My problem is a "combination problem" like this:
At a restaurant you have:
5 Main Courses
10 Side Dishes (can choose 2 or the same one twice)
4 Desserts
What is the total combination of choices?This question is from textbook Mathematics All Around
: My problem is a "combination problem" like this:
At a restaurant you have:
5 Main Courses
10 Side Dishes (can choose 2 or the same one twice)
4 Desserts
What is the total combination of choices? Answer by Alan3354(1937) (Show Source):
You can put this solution on YOUR website! My problem is a "combination problem" like this:
At a restaurant you have:
5 Main Courses
10 Side Dishes (can choose 2 or the same one twice)
4 Desserts
What is the total combination of choices?
-----------------
For the Main Course, it's 1 of 5, then 1 of 10, 1 of 10, then 1 of 4.
It's 5*10*10*4
= 2000 combos
Question 169245This question is from textbook Mathematics All Around
: My problem is a "combination problem" like this:
At a restaurant you have:
5 Main Courses
10 Side Dishes (can choose 2 or the same one twice)
4 Desserts
What is the total combination of choices?This question is from textbook Mathematics All Around
: My problem is a "combination problem" like this:
At a restaurant you have:
5 Main Courses
10 Side Dishes (can choose 2 or the same one twice)
4 Desserts
What is the total combination of choices? Answer by Edwin McCravy(2199) (Show Source):
Warning!
Alan's solution is incorrect because
he used 10×10 or 100 for the number
of choices for the side dishes. This
counts selecting, say, corn first and
slaw second as different from selecting
slaw first and corn second, when they
are the same choice. That's why his
answer is too large.
Edwin's solution:
Number of ways to choose the main course, (which is 5)
AND (TIMES)
Number of ways to choose the side dishes:
A. Number of ways to choose two different side dishes, 10C2
OR (PLUS)
B. Number of ways to choose the same side dish twice, 10
AND (TIMES)
Number of ways to choose the dessert
That's
Edwin
