Answer:
There are 12,565,671,261 ways.
Step-by-step explanation:
Here we have to use the combination and repetition formula.
C(n + r-1, r) = [tex]\frac{(n + r-1)!}{r!(n-1)!}[/tex]
Given: n = 10 (The number of questions)
Each question is worth at least 5 points.
10 questions = 10 *5 = 50
The total = 100
r = 100 - 50
r = 50
Now we can apply the formula.
C(10 + 50 -1, 50) = [tex]\frac{(10 + 50 -1)!}{50!(10 -1)!}[/tex]
C(59, 50) = [tex]\frac{59!}{50!9!}[/tex]
Simplifying the above factorial using the calculator, we get
C(59, 50) = 12,565,671,261
There are 12,565,671,261 ways.
