algorithm for working on compartmental models

I need tese problems worked out please.

Five people want a photographer to take pictures of every possible group of three of them - How many different photos will the photographer need to take

Compute 2^2+4^2+6^2+ +(2n)^2 = (2/3)n(2n+1)(n+1) How?

Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard (see diagram on page 639) and then folding up the sides. If the area of the base is to be 80 square inches, then what size squares should be cut from each corner?

6. Simplify. Do not use negative exponents in your answer. (y-7z-4)(y-1z-5)

32-1=8 8/2=4 4-3=1 How did the number game use the skill of simplifying rational expressions?

45+5673+482434234*354=?

9y/2t x 10t/3ty

According to Remodeling magazine, the average cost to convert an existing room into a home office with custom cabinetry and rewiring for electronic equipment is $5976. Assuming a population standard deviation of $1000 and the sample of home office conversion prices charged for 40 recent jobs...