Kuta Software - Infinite Algebra 2
Name___________________________________
Combinations
Date________________ Period____
List all possible combinations.
1) T, V, W, taken two at a time
2) A, B, C, D, taken two at a time
3) ☺, ☼, ♥, ▲, taken three at a time
4) 4, 5, 6, 7, taken four at a time
Evaluate each expression.
5)
 C 
6)
 C 
7)
 C 
8)
 C 
9)
 C 
10)
 C 
12)
 C 
11)  C 
13)
 C 
14)  C 

Critical thinking questions:
15) Explain why n C n C n
16) Write a combination that equals 
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
Combinations
Date________________ Period____
List all possible combinations.
1) T, V, W, taken two at a time
TV
TW
2) A, B, C, D, taken two at a time
VW
3) ☺, ☼, ♥, ▲, taken three at a time
AB BC
AC BD
AD CD
4) 4, 5, 6, 7, taken four at a time
☺☼♥ ☼♥▲
☺☼▲
☺♥▲
4567
Evaluate each expression.
5)
 C 
6)
231
7)
 C 
165
8)
495
9)
 C 
127,296
13)
 C 

 C 
300
10)
42,504
11)  C 
 C 
 C 
19,448
12)
 C 
4,846
14)  C 
11,622
1,938
Critical thinking questions:
15) Explain why n C n C n
16) Write a combination that equals 
Choosing n means two are being left behind.
 C 
You could think of it choosing those two.
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Worksheet by Kuta Software LLC