Mr. Lombardo took his children to a water. He used the coupon shown below to buy one adult ticket. (This coupon is good for ONE adult ticket to World Of Water at a price of $28.00. YOU SAVE $4.00!) The price of admission for all three family members was $76. What was the price of each child's ticket?
Answer the following questions and explain your answer.
a. What ticket price do you know? How much is that ticket? Explian.
b. What other information is given in the problem?
c. How can you find the price of the two children's tickets? Show how to find the answer.
d. If you know the price of two children's tickets, how can you find the price of one child's ticket.
e. What is the price of each child's ticket? Show your work.

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.