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Statement

Evaluatei 5 !...

Question

Evaluate
$(i) 5! (i i) 7! (i i i) 7! - 5!$

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Solution

$∵ n! = n (n - 1) (n - 2) \dots 3 \cdot 2 \cdot 1$
$(i) 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120$

$(i i) 7! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 5040$

$(i i i) 7! - 5! = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 - 5 \times 4 \times 3 \times 2 \times 1$
$= 5040 - 120$
$= 4920$

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