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.

4 adults and 12 babies

step-by-step explanation:

4 x 7 = 28

12 x 15 = 180

180 + 28 =208

4 x 3 = 12