Question

a college offers 2 introductory courses in history, 2 in science, 2 in mathematics, 1 in philosophy, and 4 in english.
a. if a student takes one course in each area during her first semester, how many course selections are possible?
b. if a part - time student can afford to take only one introductory course, how many selections are possible?

Explanation:

Step1: Apply multiplication principle for a

Multiply course counts per area: $2×2×2×1×4$

Step2: Calculate result for a

$2×2×2×1×4 = 32$

Step3: Apply addition principle for b

Sum all course counts: $2+2+2+1+4$

Step4: Calculate result for b

$2+2+2+1+4 = 11$

Answer:

a. 32
b. 11