Question

A student is taking a multiple-choice quiz. There are four questions. The first two questions each have four choices (a,b,c,d); the other two questions each have 5 choices (a,b,c,d,e). The student is clueless and decides to guess. From how many different possible sets of answers to the four questions can she pick?

Answer 1

Answer:400 ways

Explanation:

Given

for the first two questions there are 4 choices

therefore for 1 st question there are $^4C_1 ways$

for 2 nd question there are $^4C_1 ways$

For 3 rd question there are $^5C_1 ways$

For 4 th question there are $^5C_1 ways$

Thus a total of $=4\times 4\times 5\times 5=400 ways$