Assessment started: undefined. Item 1
Which situation does this equation model?

12 × 6 = n

Maria completed 12 cartwheels. This is 6 more cartwheels than James completed. James completed n cartwheels.

Sarah's dog weighs 12 pounds. Jordan's dog weighs 6 times as much as Sarah's dog. Jordan's dog weighs n pounds.

Jada swam 12 laps in the pool. This is 6 times as many laps as Juan swam. Juan swam n laps.

Kiki collected 12 seashells on the beach. Min collected 6 more seashells than Kiki collected. Min collected n seashells.

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.