Compare-8-and-8-

Question Number 209059 by hardmath last updated on 01/Jul/24

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8! and 8!!

Commented by mr W last updated on 01/Jul/24

i f \frac{a}{b} = 1 \Rightarrow a = b

\frac{8!!}{8!} = 1! = 1 \Rightarrow 8!! = 8! \underset{∣<>∣}{\overset{- \lor \lor -}{\cup}}

Commented by Frix last updated on 01/Jul/24

n!! \neq (n!)!

n!! = {\begin{cases} 2^{k} k!, n = 2 k \\ \frac{(2 k)!}{2^{k} k!}, n = 2 k - 1 \end{cases}

\Rightarrow 8!! = (2 \times 4)!! = 2^{4} \times 4! = 16 \times 24 = 384

8! = 40320

8! = 105 \times 8!!

Commented by A5T last updated on 01/Jul/24

I t w a s p r o b a b l y a j o k e .

Commented by mokys last updated on 01/Jul/24

n! = n (n - 1) (n - 2) (n - 3) \dots

n!! = n (n - 2) (n - 4) (n - 6) \dots

8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1

8!! = 8 \times 6 \times 4 \times 2

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