A maths question

[Yafo]

If there are 10 digits to choose from (0,1,2,3,4,5,6,7,8,9) and each digit can only be used once (1234, 2341, 3412, 4123, 4321, etc all count as 1), and each digit only used once, then how many 4 digit combinations are possible?

Anybody able to show the calculation needed please?

Not interested in the answer of 210, just the mathematical formula needed please

 

[rsgaz]

1
------------------------
(4/10)(3/9)(2/8)(1/7)


...is how I worked it out to agree with your 210, but it can be simplified to

10!/(6!*4!)

 

[SammyInnit]

http://mathcentral.uregina.ca/QQ/database/QQ.09.08/h/renee1.html

 

[Yafo]

http://mathcentral.uregina.ca/QQ/database/QQ.09.08/h/renee1.html

Thank you.

Explains it and shows it simply.

 

[empip]

All you need to know :-
https://www.wyzant.com/resources/lessons/math/precalculus/factorials_permutations_and_combinations

-0-

 

[Bodd]

Hears another

How much beer can you get into a pint glass without it over spilling.

 

[SammyInnit]

Hears another

How much beer can you get into a pint glass without it over spilling.

About 10 pints before I've had enough.

 

[JohnD]

Hears another

How much beer can you get into a pint glass without it over spilling.

Depends if it's a London pint or a Northern pint.

A London pint is 20 fl.oz plus head.

A Northern pint is 20 fl.oz including head.

So they're paying for an inch of gassy foam.

 

[Bodd]

Depends if it's a London pint or a Northern pint.

A London pint is 20 fl.oz plus head.

A Northern pint is 20 fl.oz including head.

So they're paying for an inch of gassy foam.

I never knew that.

 

[SammyInnit]

I never knew that.

The mrs often asks if there's a hole in my glass, I reluctantly point to the one at the top.