The school that Julio goes to is selling tickets to a spring musical. On the first day of ticket sales
the school sold 12 senior citizen tickets and 1 child ticket for a total of $75. The school took in
$170 on the second day by selling 1 senior citizen ticket and 11 child tickets. Find the price of a
senior citizen ticket and the price of a child ticket.
A) senior citizen ticket: $4, child ticket: $23 B) senior citizen ticket: $15, child ticket: $5
C) senior citizen ticket: $7, child ticket: $8 D) senior citizen ticket: $5, child ticket: $15

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.