{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Assn2 - you select 10 of these balls(the balls of the same...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
1. Determine the rook polynomial of the following board: In how many ways can you place 6 non-taking rooks on this board? In how many ways can you place them on the complementary board? 2. An integer n is an exact power if there exist integers x and y such that y > 1 and n = x y ; for example, 1 = 1 2 , 4 = 2 2 , 8 = 2 3 and 9 = 3 2 are all exact powers that are smaller than 10. How many integers between 1 and 1000 are exact powers? 3. You are given 3 red, 4 green and 6 blue balls. In how many ways can
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: you select 10 of these balls (the balls of the same color are indistin-guishable)? 4. Determine the coeFcient of x 50 in the power series corresponding to the function 1-x 20 1-2 x . 5. Simplify p-2 k P and p-1 / 2 k P to expressions using only “ordinary” binomial coeFcients (i.e., p a b P , where a and b are nonnegative integers)....
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online