100 choose 3
Choosing 3 from 100— order doesn't matter.
Combinations (order doesn't matter)
100C3 = 161,700
Permutations (order matters): 100P3 = 970,200
There are 161,700 ways to choose 3 items from 100when order doesn't matter, using the formula C(n, k) = n! / (k! · (n − k)!).
100 choose k table
| Expression | Combinations |
|---|---|
| 100 choose 2 | 4,950 |
| 100 choose 3 | 161,700 |
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Need different values? The full permutations & combinations calculator computes nCr and nPr for any n and k.
Frequently asked questions
What is 100 choose 3?+
100 choose 3 equals 161,700. It counts the number of ways to choose 3 items from 100 when the order does not matter.
What is the formula for 100 choose 3?+
The combinations formula is C(n, k) = n! / (k! · (n − k)!). For 100 choose 3: 100! / (3! · 97!) = 161,700.