3 Combinations Of 0 - Math Celebrity

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This result was computed deterministically and not generated by probabilistic AI.
Answer
3C0 = 1

↓Steps Explained:↓

Evaluate the combination:

3C0

Combination Definition:

A unique order or arrangement

Combination Formula:

nCr = n!
r!(n - r)!

where n is the number of itemsr is the unique arrangements.

Plug in n = 3 and r = 0

3C0 2 3!
0!(3 - 0)!

Factorial Formula:

n! = n * (n - 1) * (n - 2) * .... * 2 * 1

Calculate the numerator n!:

n! = 3!

3! = 3 x 2 x 1

3! = 6

Calculate (n - r)!:

(n - r)! = (3 - 0)!

(3 - 0)! = 3!

3! = 3 x 2 x 1

3! = 6

Calculate r!:

r! = 0!

0! =

0! = 1

Calculate 3C0

3C0 = 6
1 x 6
3C0 = 6
6

Final Answer

3C0 = 1Download Freeform Worksheet Download Multiple Choice WorksheetTake the Quiz Switch to Chat ModeRelated Calculators: Boolean Algebra Multiplication |

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