A quiz has eight multiple choice questions with four options for each (A B C & D) how many ways are there to answer the question

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.