Factorial Notation

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Combinations and Permutations

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Lets see your results!

Points

Score

Time

`n!`	`=`	`n(n-1)(n-2)…321`	Factorial Formula
`5!`	`=`	`54321`	Substitute known values
	`=`	`120`

`n_1`	`=`	`12`
`n_2`	`=`	`10`

`(n_1!)/(n_2!)`	`=`	`(n_1(n_1-1)(n_1-2)…321)/(n_2(n_2-1)(n_2-2)…321)`	Factorial Formula

`(12!)/(10!)`	`=`	$$\frac{12\cdot11\cdot\color{#CC0000}{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}}{\color{#CC0000}{10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}}$$	Substitute known values

	`=`	`12*11`	Cancel like terms
	`=`	`132`

`n_1`	`=`	`9`
`n_2`	`=`	`0`

`(n_1!)/(n_2!)`	`=`	`(n_1(n_1-1)(n_1-2)…321)/(n_2(n_2-1)(n_2-2)…321)`	Factorial Formula

`(9!)/(0!)`	`=`	$$\frac{9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{1}$$	`0! =1`

	`=`	`362 880`

Factorial Notation

Quiz summary

Information

1. Question

Keep Going!

Permutation

Combination

2. Question

Hint

Well Done!

Factorial Formula

3. Question

Hint

Nice Job!

Factorial Formula

4. Question

Hint

Excellent!

Factorial Formula

Zero Factorial

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