15B Weekly Quizzes
Fall 2000
Q1. A family has 4 girls and 3 boys. (a) How many ways can they sit in a row? Ans: 7!. (b) How many ways can they sit in a row if boys and girls must alternate? Ans: 4! 3! since the only possible seating pattern in GBGBGBG so
Math 10C
Second Midterm
40 points
November 17, 2004
Write version on your blue book
VERSION B
Put your name, ID number, and section number (or time) on your blue book. You may have ONE 2-sided page of notes. NO CALCULATORS are allowed. You must show you
Math 10C
First Midterm Version B
Solutions
Oct. 18, 2004
1. (a) No: You cannot add a vector and a scalar (b c is a scalar). (b) No: the cross product is only dened for vectors in R3 . (c) Yes: this is a vector in R3 . (d) No: a is in R2 but v w is in R3 ,
Math 10C
First Midterm Version A
Solutions
Oct. 18, 2004
1. (a) No: a w makes no sense since a R3 and u R2 . (b) Yes: this is a vector in R3 . (c) No: the cross product is only dened for vectors in R3 . (d) No: since (a b) is a scalar, we cannot take its
Math 10C
First Midterm
40 points
Oct. 18, 2004
PRINT NAME Write version on your blue book and hand in this exam inside your blue book. VERSION A
Put your name, ID number, and section number (or time) on your blue book. You may have ONE 2-sided page of n
Math 10C
First Midterm
40 points
Oct. 18, 2004
PRINT NAME Write version on your blue book and hand in this exam inside your blue book. VERSION B
Put your name, ID number, and section number (or time) on your blue book. You may have ONE 2-sided page of n
Math 10C
Second Midterm
Version A Solutions
November 17, 2004
1. (a) This can be done in various ways: Best is to take a value on each side of the (50,15) entry and form the nite dierence: 47 25 22 40 29 11 ws (50, 15) = and wt (50, 15) = . 60 40 20 20 10
Math 15B (Bender)
Midterm Exam
27 October 2000
1. (36 pts) A ve digit number is a sequence of ve digits, the rst of which is NOT zero. Thus, 12345 and 10101 are valid but 01234 and 1234 are NOT valid. (a) How many ve digit numbers are there? Ans: One way
Math 10C
Final Exam Solutions
Fall 2004
1. It is the amount of money, in cents, that the street vendor takes in (or collects, or earns, etc.) that day. If you did not give the units (cents), you do not get full credit. 2. The vectors 1, 2, 0 and 0, 0, 1 a
15B Weekly Quizzes
Solutions
Fall 2001
Q1. A family has 3 girls and 3 boys.
(a) How many ways can they sit around a circular table?
Ans: The answer is 5!. As derived in class and in the text, the number of circular
arrangements of n people is (n 1)!. We h
Math 10C
Second Midterm
40 points
November 17, 2004
Write version on your blue book
VERSION A
Put your name, ID number, and section number (or time) on your blue book. You may have ONE 2-sided page of notes. NO CALCULATORS are allowed. You must show you