For mr. fujimoto's class, there are 7 possible assignments. however, students only have to choose 5 assignments to complete and submit. if the order in which the students submit the assignments doesn't matter, how many different combinations of 5 are there?

The formula for combinations is
C=n!/[(n-r)!*r!]
where
n is the total number of objects you choose from
r is the number that you choose to arrange

in this problem
n=7 assignments

r=5 assignments

C=7!/[(7-5)!*5!]> C=7!/[2!*5!]---> (7*6*5!)/(2*5!)> C=21

the answer is

21

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere