Question

How many different 4-question geometry quizzes can a teacher make

if there are 7 different problems to test on?

Hint: combination
• 38 quizzes
•35 quizzes
• 14 quizzes
• 28 quizzes

Answer 1

35 quizzez

Explanation:

Answer 2

A teacher can make 35 quizzes.

Explanation:

Given that,

Total problems = n = 7

Number of questions in a quiz = r = 4

We need to find the ways in which different 4-question geometry quizzes can a teacher make if there are 7 different problems to test.

For that, the combination is used: nCr =
`(n!)/(r!(n-r)!)`

By putting the values, we get

`(7!)/(4!(7-4)!)`

`(7*6*5*4!)/(4!*3!)`

`(7*6*5)/(3*2*1)`

35 quizzes

Hence, a teacher can make 35 quizzes.