Write the number of permutations in factorial form. then simplify, how many different ways can you and six of your friends sit in your assigned seats in math class
a)6! ; 120
b)6! ; 720
c)7! ; 2,520
d) 7! ; 5,040

D) 7!;5,040

Step-by-step explanation:

Given: The number of friends = 7

Permutations says that the number of different ways of arranging r objects out  of n objects is given by ;-

By permutations the number of different ways they can sit is given by :-

Therefore, the different ways can you and six of your friends sit in your assigned seats in math class = 5,040.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !

step-by-step explanation: