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hw11 sol

# hw11 sol - Spring-2011 CMSC 250 Homework 11 Due Wed NOTE...

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Spring-2011 CMSC 250: Homework 11 Due: Wed Apr 27, 2011 NOTE: Due AT THE BEGINNING of Recitation! COURSE WEBSITE: http://www.cs.umd.edu/ gasarch/250/S11.html NOTE: In this HW N = { 0 , 1 , 2 , . . . } . In this HW answer can use choose-notation or factorials or powers. That is, the answer can be (say) 100 choose 5 rather than acutally give us the number. 1. (0 points) What is your name? Write it clearly. Staple your HW. What is your SEC- TION NUMBER. KRUSKALS STUDENTS: Your FINAL is in the BSR building (Biosciences Research). WALK TO IT so that you KNOW WHERE IT IS. What TIME is the exam. (GASARCHS STUDENTS- You will have the final at the same time but might be in a dif- ferent place.) READ the book review pointed to by COMB on the main page next to where this HW was posted. 2. (30 points) There are 2 n students taking MATH 410. Of these, n are female and n are male. (a) How many ways are there to form a committee of n students from the class? (b) Let 1 i n . How many ways are there to form a committee of n students of which i are male and n - i are female?

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