Math 301
Practice Final
December 16th, 2013
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answer, continue on the back of the page.
Name:
Question Points Score
1
23
2
12
3
10
4
15
5
20
6
20
Total:
100
Ma
HOMEWORK 1 SOLUTIONS
MATH 301: COMBINATORICS
1. P ROBLEM 1.8.21 FROM LPV
Let B be a subset of A, | A| = n, | B| = k. What is the number of all subsets of A
whose intersection with B has 1 element?
Proof. Let C be any subset of A; knowing C is equivalent t
Math 301
Practice Final
December 16th, 2013
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answer, continue on the back of the page.
Name:
Question Points Score
1
23
2
12
3
10
4
15
5
20
6
20
Total:
100
Ma
Math 301
Practice First Midterm
September 30th, 2013
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answer, continue on the back of the page.
Name:
1. In the following question, we want to distribute 11 t
Math 301
Second Practice Midterm
November 6th, 2013
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answer, continue on the back of the page.
Name:
Question Points Score
1
24
2
16
3
10
4
10
Total:
60
Math
Math 301
Practice First Midterm
September 30th, 2013
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answer, continue on the back of the page.
Name:
1. In the following question, we want to distribute 11 t
Math 301
Second Practice Midterm
November 6th, 2013
Answer the questions in the spaces provided on the question sheets. If you
run out of room for an answer, continue on the back of the page.
Name:
Question Points Score
1
24
2
16
3
10
4
10
Total:
60
Math