Obviously the correct answer for this question is already shown. I don\'t unders

Question

Obviously the correct answer for this question is already shown. I don't understand what formula was used to get that answer. Please do the calculation with showing work, lableing, and explain as much as possible.

4. Tina has decided that next semester she will take three MWF classes, either all three in the morning or all three after noon so that she can also work part-time on those days. The table below gives the number of classes that she could take at each time. Classes Available Time 9:05-9:55 7 10:10 11:00 5 11:15-12:05 6 12:20-1:10 1:25 2:15 4 2:30 -3:20 How many different schedules can Tina devise? (A) 10,080 B) 212 (C) 140 (D) 72

Explanation / Answer

Tina can have all three classes in the morning or all three classes in the noon.

For morning,

The total number of schedules possible = 4*7*5 = 140

Similarly for evening,

The total number of shcedules possible = 6*3*4 = 72

Hence,

Number of different schedules Tina can devise = 140 + 72 = 212

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