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Question
Evaluate the following.
`((3!)! xx 2!)/(5!)`
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Solution
`((3!)! xx 2!)/(5!)`
`= ((3 xx 2 xx 1)! xx 2 xx 1)/(5 xx 4 xx 3 xx 2 xx 1)`
`= (6! xx 2 xx 1)/(5 xx 4 xx 3 xx 2 xx 1)`
`= (6 xx cancel(5 xx 4 xx 3 xx 2 xx 1) xx 2 xx 1)/cancel(5 xx 4 xx 3 xx 2 xx 1)`
= 6 × 2 × 1
= 12
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