A teacher is creating a quiz for her class. Each student's quiz will contain the same set of questions, but every student's questions will appear in a different order. If there are thirty students in the class, what is the least number of questions the quiz can contain

5

Step-by-step explanation:

The test can be arranged in n! ways

If there is 1 question, the question can be arranged in 1! way = 1

If there are 2 question, the question can be arranged in 2! ways = 2 x 1 = 2

If there are 3 question, the question can be arranged in 3! ways = 3 x2 x 1 = 6

If there are 4 questions, the question can be arranged in 4! ways = 4 x 3 x2 x 1 = 24

If there are 5 questions, the question can be arranged in 5! ways = 5 x 4 x 3 x2 x 1 = 120 ways

the  least number of questions the quiz can contain is 5 because it is the number that yields the number of arrangements that is greater than 30

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.