4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK- 54 or ABC-055). How many such possibilities are there for those plates with 2 digits? for those times. with 3 digits? In all, how many license plates are possible?
4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK- 54 or ABC-055). How many such possibilities are there for those plates with 2 digits? for those times. with 3 digits? In all, how many license plates are possible?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer question 4. Write out each step and explain what you are doing.

Transcribed Image Text:Review Sheet for Permutations, Combinations, Probability, and Systems of Conics.
1. Solve each of the following systems, algebraically.
a) x² + y² =9
x +y? +8x+7=0
b) y²x² = 64
xy = 24
c) x² - ² = 1
y=-1-x²
d) 4x² + y² = 16
²-1²-4
2. Many license plates in the U.S. consist of 3 letters followed by a 3-digit number from 100 to
999. How many of these contain at least one of the vowels A, E, I, O, and U?
*
тор
3. If you have 5 signal flags and can send messages by hoisting one or more flags on a flagpole,
how many messages can you send? Every distinct grouping of these flags sends a different
signal.
natter
is he does.
йпід
4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK-
54 or ABC-055). How many such possibilities are there for those plates with 2 digits? for those
with 3 digits? In all, how many license plates are possible? - tis
5. a) In how many ways can a club with 20 members choose a president and a vice-president?
b) In how many ways can the club choose a 2-person governing council?
6. a) In how many ways can a club with 13 members choose 4 different officers?
b) In how many ways can the club choose a 4-person governing council?
43 4
7. Eight people apply for 3 job positions. In how many different ways can the 3 positions be
filled if the positions are
a) all different?
b) all the same?
DII
F8
doesit bay
different conde
13P4=17160
13x12x110
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