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Math Problems
Geometry
Counting principle
Alvin needs to buy a corsage for his prom date. He can pick a color and a style from among the
4
4
4
colors and
5
5
5
styles available. How many different corsages can Alvin design?
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_
_
_
_
_
\_\_\_\_\_
_____
corsages
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Tessa is creating a media center. There are
5
5
5
televisions and
2
2
2
sets of speakers to choose from. How many different entertainment centers can Tessa make?
\newline
_
_
_
_
\_\_\_\_
____
entertainment centers
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A committee must be formed with
5
5
5
teachers and
5
5
5
students. If there are
9
9
9
teachers to choose from, and
14
14
14
students, how many different ways could the committee be made?
\newline
Answer:
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A committee must be formed with
3
3
3
teachers and
4
4
4
students. If there are
10
10
10
teachers to choose from, and
13
13
13
students, how many different ways could the committee be made?
\newline
Answer:
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A committee must be formed with
2
2
2
teachers and
3
3
3
students. If there are
7
7
7
teachers to choose from, and
17
17
17
students, how many different ways could the committee be made?
\newline
Answer:
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A committee must be formed with
3
3
3
teachers and
7
7
7
students. If there are
9
9
9
teachers to choose from, and
15
15
15
students, how many different ways could the committee be made?
\newline
Answer:
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A committee must be formed with
3
3
3
teachers and
5
5
5
students. If there are
11
11
11
teachers to choose from, and
12
12
12
students, how many different ways could the committee be made?
\newline
Answer:
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A committee must be formed with
4
4
4
teachers and
3
3
3
students. If there are
10
10
10
teachers to choose from, and
16
16
16
students, how many different ways could the committee be made?
\newline
Answer:
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A committee must be formed with
5
5
5
teachers and
3
3
3
students. If there are
7
7
7
teachers to choose from, and
8
8
8
students, how many different ways could the committee be made?
\newline
Answer:
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A committee must be formed with
3
3
3
teachers and
3
3
3
students. If there are
8
8
8
teachers to choose from, and
16
16
16
students, how many different ways could the committee be made?
\newline
Answer:
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Sandy makes
$
2
\$ 2
$2
profit on every cup of lemonade that she sells and
$
1
\$ 1
$1
on every cupcake that she sells. Sandy wants to sell at least
5
5
5
cups of lemonade and at least
5
5
5
cupcakes per day. She wants to earn at least
$
25
\$ 25
$25
per day. Show and describe all the possible combinations of lemonade and cupcakes that Sandy needs to sell to meet her goals. List two possible combinations.
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Russell is picking out a new lamp at a furniture store. There are
6
6
6
kinds of lamp bases and
3
3
3
different lampshades. How many different lamps can Russell choose?
\newline
_
_
_
_
\_\_\_\_
____
lamps
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