CPhill

THX, Alan....I'm gonna' need to ponder this one....!!!!

Corrected...

You got it   !!!!!

I agree with your real solutions, Alan

I also thought that the complex solutions to  y^2 - 4y + 7 =  0    were answers

But...Wolframalpha  gives  these  answers for the complex solutions :

https://www.wolframalpha.com/input/?i=y%5E2+-++abs+%284y+-+2+%29++%2B+5+%3D0

Do you see how they got those  ???

From the origin....we go 2 to the right on x    and 1 up on y

What is the correct answer  ???

C.  3.14 x^2

A. 12.50m + 1.95n

B   5  -  x

A.   6n  - 8

B.  4^3  -  a

B.   4x  - 8  =   112

We have 12 ways to choose the first person in line

11 ways to choose the second

10 to choose the third....etc...

So

12 * 11 * 10 * 9 *.........* 3 * 2 * 1      =   12!

a)  12!  ways  =  479, 001, 600 ways

b )  There are  4! ways to arrange each family = 24 so  24 * 24 * 24  = 24^3  =   13824 ways

c)  Assuming that each fanily can be arranged in any order....we have  6 ways to order the families  * the  ways to arrange the people within each family so   6 * 13824  = 82944 ways

Edit to correct my last two answers....