Solve using a venn diagram.
of the 154 student musicians, 72 are in marching band, 35 are in the jazz band, and 20 are in both.
a)draw a venn diagram
b)how many are in neither?
c)how many play the jazz band, but not the marching band?

What is the value of x? enter your answer in the box.

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.

Ling is using fraction strips to add 2/3 and 7/12's the sum is one whole plus how many twelves?