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
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Answer question 4. Write out each step and explain what you are doing.
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
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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