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Question
Compute 994
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Solution
994 = (100 – 1)4
= 4C0 (100)4(1)0 + 4C1 (100)4–1 (– 1)1 + 4C2 (100)4–2 (– 1)2 + 4C3 (100)4–3 (– 1)3 + 4C4 (100)4–4 (– 1)4
= `1 xx 100^4 xx 1 - 4 xx 100^3 xx 1 + (4 xx 3)/(1 xx 2) xx 100^2 xx 1 - 4 xx 100^1 xx 1 + 1 xx 1 xx 1`
= 100000000 – 4 × 1000000 + 6 × 10000 – 400 + 1
= 100000000 – 4000000 + 60000 -400+1
= 96059601
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