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Evaluate
(i) 8! (ii) 4! – 3!.
(i) 8! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 = 40320
(ii) 4! = 1 × 2 × 3 × 4 = 24
3! = 1 × 2 × 3 = 6
∴4! – 3! = 24 – 6 = 18
Evaluate
, when
(i) n = 6, r = 2 (ii) n = 9, r = 5
(i) When n = 6, r = 2, 
(ii) When n = 9, r = 5, 
Is 3! + 4! = 7!?
3! = 1 × 2 × 3 = 6
4! = 1 × 2 × 3 × 4 = 24
∴3! + 4! = 6 + 24 = 30
7! = 1 × 2 × 3 × 4 × 5 × 6 × 7 = 5040
∴ 3! + 4! ≠ 7!
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