Answer:
161 seniors
Step-by-step explanation:
According to the problem, given data are as follows:
Total number of sophomores = 300
Sophomores to junior ratio = 5:4
So, Number of Juniors = 300 × (4 ÷ 5)
= 240
Now, Juniors to senior ratio = 3:2
So, we can calculate the number of seniors by using following method:
Number of seniors = 240 × ( 2 ÷ 3)
= 240 × 0.67
= 160.8 or 161
To find in how many ways this can be done, we can use the method of combination.
As the customer have to choose 2 out of 3 appetizers, the combination would be 3C2.
For 4 out of 5 main courses, the combination wouls be 5C4.
For 6 out of 8 desserts, the combination would be 8C6.
We can then combine them into a single equation to find the answer:
3C2 x 5C4 x 8C6
=420
Therefore, the answer is 420 ways.
Hope it helps!
