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Question
Compute: `(8!)/(6! - 4!)`
Solution
`(8!)/(6! - 4!) = (8 xx 7 xx 6 xx 5 xx 4 xx 3 xx 2 xx 1)/((6 xx 5 xx 4 xx 3 xx 2 xx 1) - (4 xx 3 xx 2 xx 1))`
= `40320/(720 - 24)`
= `40320/696`
= `1680/29`
∴ `(8!)/(6! - 4!) = 1680/29`
= 57.93
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