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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Permutations
Name___________________________________
Date________________ Period____
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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 xPx
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Permutations
Name___________________________________
Date________________ Period____
©Y V2h0U1j6b WKSuCtpae LSeoOfRtEwRaYrse JLfLACe.O A iARlpl` Qr]ilgWhstAsc lroeNseefrRvMendR.
List all possible permutations.
1) 1, 2, 3
123
132
213
231
312
321
2) T, V, W, taken two at a time
TV
TW
VT
VW
WT
WV
3) ☺, ☼, ♥, ▲, taken two at a time
☺☼
☺♥
☺▲
☼☺
☼♥
☼▲
♥☺
♥☼
♥▲
▲☺
▲☼
▲♥
4) A, B, C, D ABCD
ABDC
ACBD
ACDB
ADBC
ADCB
BACD
BADC
BCAD
BCDA
BDAC
BDCA
CABD
CADB
CBAD
CBDA
CDAB
CDBA
DABC
DACB
DBAC
DBCA
DCAB
DCBA
Evaluate each expression.
5) P
12
6) P
5
7) P
30
8) P
720
9) P
836
10) P
3,600
Find the number of unique permutations of the letters in each word.
11) DESIGN
720
12) MATH
24
13) CHEESE
120
14) FURTHER
2,520
15) BALLISTICS
453,600
16) BILLIONAIRE
3,326,400
Critical thinking questions:
17) Write a word for which there are 30
unique permutations of the letters.
LEVEL
18) Simplify xPx
x!