Meghan is completing her chemistry and geometry homework. Each chemistry assignment has x problems, and each geometry assignment has y problems. She must complete a total of 62 problems. The equation below describes the relationship between the
number of chemistry problems and the number of geometry problems.
4x + 3y = 62
The ordered pair (5. 14) is a solution of the equation. What does the solution (5, 14) represent?
A. Meghan must complete 5 chemistry assignments and 14 geometry assignments.
B. Each chemistry assignment contains 5 problems and each geometry assignment contains 14 problems.
OC. Meghan spent 5 minutes on her chemistry homework and 14 minutes on her geometry homework.
D. Meghan must complete 9 more geometry assignments than chemistry assignments.

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.