Question

A student has to take 8 courses to graduate. If none of the courses are prerequisites for others, how many groups of 3 courses can the student select for the coming semester?

Select one:

a. 11
b. 12
c. 24
d. 48
e. 56

Answer 1

Answer on question #52393, Math, Combinatorics — Number Theory

Question A student has to take 8 courses to graduate. If none of the courses are prerequisites for others, how many groups of 3 courses can the student select for the coming semester?

Select one: a. 11

b. 12

c. 24

d. 48

e. 56

Solution In this question you are actually asked to find

$$C _ {8} ^ {3} = \frac {6 \cdot 7 \cdot 8}{1 \cdot 2 \cdot 3} = 56$$

Answer is e. 56.

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