Mahavira's general formula for combinations
Fórmula general de combinaciones de Mahavira
- Date
- c. 850 · confidence medium
- Place
- Manyakheta (Malkhed), Kalaburagi, Karnataka, India
- Credited to
- Mahavira (Mahaviracharya)
- People
- 👤 Mahāvīra800–875
- Field
- Knowledge & symbols
What was discovered
The Ganita-sara-sangraha explicitly gives the rule nCr = n(n−1)…(n−r+1) / r! and deals with higher-degree equations, unit fractions and the ellipse. It was the first Indian treatise devoted solely to mathematics, without astronomy.
What it led to
- Indian combinatorics (Bhaskara II, Narayana Pandita)
- teaching of arithmetic in southern India