Answer:
1680 ways.
Step-by-step explanation:
This question is solved using Permutation formula.
Permutation formula is given as
nPr = n! / (n -r)!
In the above question we are to find how many ways we can answer 8 multiple choice questions with 4 options(A, B,C,D)
Therefore,
n = 8 multiple choice questions
r = 4 options
nPr = n! / (n - r)!
8P4 = 8! / ( 8 - 4) !
8P4 = 8! / 4!
8P4 = (8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1)
8P4 = 40320 / 24
8P4 = 1680 ways
Therefore, the number of ways to answer 8 multiple choice questions with 4 options (A, B, C, D) for each is 1680 ways.