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Symbols · Operators and calculus

! Factorial

Say it: “factorial”, “n factorial”

What it means

n! is the product of the whole numbers from 1 to n, so 5! = 120. By convention 0! = 1. Factorials count arrangements: n different books can be ordered on a shelf in n! ways.

Read aloud in real formulas

Combinatorics

C(n, k) = n! / (k!(n − k)!)

Aethel says

n choose k equals n factorial over the quantity k factorial times the quantity n minus k, factorial

the number of ways to choose k from n

Calculus

eˣ = ∑ₙ₌₀^∞ xⁿ / n!

Aethel says

e to the power of x, equals the sum from n equals 0 to infinity of x to the power of n, over n factorial

the series for e to the x

Typing it

LaTeX
n!
Unicode
U+0021

Formulas that use it

Questions

How do you say ! out loud?

It is usually read “factorial”, and also “n factorial”.

What does ! mean in maths?

n! is the product of the whole numbers from 1 to n, so 5! = 120. By convention 0! = 1. Factorials count arrangements: n different books can be ordered on a shelf in n! ways.

How do you type !?

In LaTeX, write n!. Its Unicode code point is U+0021.

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