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Permutations & Combinations
P(n,r), C(n,r) with Pascal's triangle
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Permutations & Combinations
n (total items)
r (chosen)
P(n,r) = n! / (n-r)!
720
Ordered arrangements
C(n,r) = n! / (r!(n-r)!)
120
Unordered selections
Pascal's Triangle (rows 0–10)
1
1
1
1
2
1
1
3
3
1
1
4
6
4
1
1
5
10
10
5
1
1
6
15
20
15
6
1
1
7
21
35
35
21
7
1
1
8
28
56
70
56
28
8
1
1
9
36
84
126
126
84
36
9
1
1
10
45
120
210
252
210
120
45
10
1
