Product Notation (Π)

★★☆☆☆Middle School

📖Definition

Π (capital pi) is a symbol for expressing products of consecutive terms. Often used in factorials and combinations.

📐Formulas

∏_i=1ⁿ aᵢ = a₁ × a₂ × ... × aₙ

Product definition

n! = ∏_i=1ⁿ i

Factorial representation

✏️Examples

예제 1

Calculate Πᵢ₌₁⁵ i.

예제 2

Calculate Πᵢ₌₁³ 2i.

Applications

Probability

Independent event probabilities

Number Theory

Prime factorization

Combinatorics

Factorials, permutations

🔗Related Documents

#파이##product#pi notation