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Binomial Coefficient Expansion

The coefficient of h3 in (1 + h)7 is

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Worked Solution

The h3 term in (1 + h)7 is 7C3 h3
7C3 =
7×6×...×1
---
(4×3×2×1) × (3×2×1)
= 35
The coefficient of h3 is 35


© MEI Produced by Dr Ron Knott, 25 Mar 2004
tom . button [AT] mei . org . uk
Test reference: PolyBinCoeffExpansion.html?ref=73268