How do you write $35 \times 24 \times 23 \times 22 \times 4 \times 3 \times 2 \times 1$ $35times24times23times 22times 4times3times2times1$ as a ratio of factorials?

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How do you write $35 \times 24 \times 23 \times 22 \times 4 \times 3 \times 2 \times 1$ $35times24times23times 22times 4times3times2times1$ as a ratio of factorials?

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Answer 1 · 2015-11-14T00:29:04

$\frac{(35!) (24!) (4!)}{(34!) (21!)}$ $((35!)(24!)(4!))/((34!)(21!))$ or $\frac{(23!) (11!) (8!)}{(22!) (10!)}$ $((23!)(11!)(8!))/((22!)(10!))$

Explanation:

$35 \times 24 \times 23 \times 22 \times 4 \times 3 \times 2 \times 1$ $35xx24xx23xx22xx4xx3xx2xx1$

$= \frac{35!}{34!} \times \frac{24!}{21!} \times (4!) = \frac{(35!) (24!) (4!)}{(34!) (21!)}$ $=(35!)/(34!)xx(24!)/(21!)xx(4!)=((35!)(24!)(4!))/((34!)(21!))$

or

$35 \times 24 \times 23 \times 22 \times 4 \times 3 \times 2 \times 1$ $35xx24xx23xx22xx4xx3xx2xx1$

$= 5 \times 7 \times 8 \times 3 \times 23 \times 2 \times 11 \times 4 \times 3 \times 2 \times 1$ $=5xx7xx8xx3xx23xx2xx11xx4xx3xx2xx1$

$= 23 \times 11 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1$ $=23xx11xx8xx7xx6xx5xx4xx3xx2xx1$

$= \frac{23!}{22!} \times \frac{11!}{10!} \times (8!) = \frac{(23!) (11!) (8!)}{(22!) (10!)}$ $=(23!)/(22!)xx(11!)/(10!)xx(8!)=((23!)(11!)(8!))/((22!)(10!))$

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How do you write $35 \times 24 \times 23 \times 22 \times 4 \times 3 \times 2 \times 1$ $35times24times23times 22times 4times3times2times1$ as a ratio of factorials?

1 Answer

Explanation:

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How do you write $35 \times 24 \times 23 \times 22 \times 4 \times 3 \times 2 \times 1$ $35times24times23times 22times 4times3times2times1$ as a ratio of factorials?