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

Step-by-step 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* 4* 5* 5=400 ways`