A group is having a business meeting with 11 people and everyone wants to shake each others hand before they leave the meeting How many handshakes are possible in a group of 11 people?
A. 55
B. 100
C. 110
D. 121

Technically, depending on other unstated variables, the answer could be much larger/smaller (and numbers not stated in the answer), but assuming the question asked how many handshakes are possible in a group of 11 people where each of the people must shake each other's hands once and only once, the answer would be "C."

Step-by-step explanation:

Because of all the possible combinations with the stated condition (where each of the people must shake each other's hands once and only once), it can be concluded that there are 110 possible handshakes to be done with each other.

Picture this, one person going around shaking each others person one-at-a-time. A person would shake ten other people's hands, and the same thing done with the rest 10 people.

1 person shaking hands with 10 other people = 10 hands shaked

10 people shaking hands with 10 other people = 100 hands shaked

Adding this up, you get 110 hands shaked.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

10

step-by-step explanation: