Kuta Software - Infinite Algebra 2
Name___________________________________
Permutations
Date________________ Period____
List all possible permutations.
1) 1, 2, 3
2) T, V, W, taken two at a time
3) ☺, ☼, ♥, ▲, taken two at a time
4) A, B, C, D
Evaluate each expression.
5)  P
6)  P
7)  P
8)  P
9)  P
10)  P
Find the number of unique permutations of the letters in each word.
11) DESIGN
12) MATH
13) CHEESE
14) FURTHER
15) BALLISTICS
16) BILLIONAIRE
Critical thinking questions:
17) Write a word for which there are 30
unique permutations of the letters.
18) Simplify x P x
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Permutations
Date________________ Period____
List all possible permutations.
1) 1, 2, 3
123
132
2) T, V, W, taken two at a time
213
231
312
321
3) ☺, ☼, ♥, ▲, taken two at a time
☺☼ ☼☺ ♥☺ ▲☺
☺♥ ☼♥ ♥☼ ▲☼
☺▲ ☼▲ ♥▲ ▲♥
TV
TW
VT
VW
WT
WV
Evaluate each expression.
4) A, B, C, D ABCD
ABDC
ACBD
ACDB
ADBC
ADCB
5)  P
6)  P
12
7)  P
30
9)  P
836
BACD
BADC
BCAD
BCDA
BDAC
BDCA
CABD
CADB
CBAD
CBDA
CDAB
CDBA
DABC
DACB
DBAC
DBCA
DCAB
DCBA
5
8)  P
720
10)  P
3,600
Find the number of unique permutations of the letters in each word.
11) DESIGN
12) MATH
720
24
13) CHEESE
14) FURTHER
120
2,520
15) BALLISTICS
16) BILLIONAIRE
453,600
3,326,400
Critical thinking questions:
17) Write a word for which there are 30
unique permutations of the letters.
LEVEL
18) Simplify x P x
x( x)
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Worksheet by Kuta Software LLC