Quick maths questio...
 

MegaSack DRAW - This year's winner is user - rgwb
We will be in touch

[Closed] Quick maths question

15 Posts
6 Users
0 Reactions
93 Views
Posts: 14791
Full Member
Topic starter
 

Lets say a company sells 21 products

Within each product there's the option to tailor up to and including 10 different aspects.

How many different product permutations does that create?


 
Posted : 23/02/2011 9:56 am
Posts: 36
Free Member
 

how many different ways can you adapt each of the 10 aspects?


 
Posted : 23/02/2011 9:57 am
 Drac
Posts: 50457
 

How many different product permutations does that create?

Depends as you said up to 10.


 
Posted : 23/02/2011 9:57 am
Posts: 36
Free Member
 

or is each aspect its own variant, so 10! different versions of each product?

i.e. 10! x 21 = 76208400


 
Posted : 23/02/2011 9:58 am
Posts: 36
Free Member
 

or....

do you mean a product A can be
A1
A1+2
A1+2+...+10
A2
A2+3...
.
.
A2+4
etc
etc


 
Posted : 23/02/2011 10:00 am
 sas
Posts: 0
Free Member
 

If you mean there can be 10 different variations of each of 21 different products then theres 10^21 = 1,000,000,000,000,000,000,000 combinations


 
Posted : 23/02/2011 10:02 am
Posts: 14791
Full Member
Topic starter
 

You can have any combination of the 10 options on each plan, including or excluding any that you want.

I thought 10^21 was a bit too straightforward?


 
Posted : 23/02/2011 10:04 am
Posts: 41395
Free Member
 

OMG, OP question FAIL!

Anyway the answer is 111


 
Posted : 23/02/2011 10:05 am
Posts: 16363
Free Member
 

... so 10! different versions of each product?

i.e. 10! x 21 = 76208400

That was my first thought


 
Posted : 23/02/2011 10:08 am
Posts: 14791
Full Member
Topic starter
 

No there's more than that

You could have product one

With 1 tailored option, which could be any one of the 10 possible
With 2 tailored options, which could be any of the 10 possible
With 3 tailored options, which could be any of the 10 possible
With 4 tailored options, which could be any of the 10 possible
With 5 tailored options, which could be any of the 10 possible

etc etc


 
Posted : 23/02/2011 10:10 am
Posts: 16363
Free Member
 

You could have product one

With 1 tailored option, which could be any one of the 10 possible
With 2 tailored options, which could be any of the 10 possible
With 3 tailored options, which could be any of the 10 possible
With 4 tailored options, which could be any of the 10 possible
With 5 tailored options, which could be any of the 10 possible

That is 10! isn't it?


 
Posted : 23/02/2011 10:13 am
Posts: 41395
Free Member
 

still insufficient info.

I am revising my sweepstake answer to 5318008


 
Posted : 23/02/2011 10:13 am
Posts: 14791
Full Member
Topic starter
 

That is 10! isn't it?

No

Client A buys Product One and wants three tailored options - 1,3 & 5

Client B buys Product One and wants three tailored options - 2,4 & 6

Client C buys Product One and wants three tailored options - 3,5 & 7

etc etc

They can select any Product and any combination of tailored options


 
Posted : 23/02/2011 10:18 am
Posts: 41395
Free Member
 

So you have 21 base products, each of which can be varied in 10 ways

21 * (1+2^10) = 55378008

EDIT sorry that should be

21 * (2^10) = 71077345


 
Posted : 23/02/2011 10:21 am
Posts: 14791
Full Member
Topic starter
 

That sounds about right.

Yes, I'm off to tell the marketing team they need to make up 55,378,008 different customer handbook templates 8)


 
Posted : 23/02/2011 10:26 am
Posts: 16363
Free Member
 

I'm changing my answer to 21504. Cynic-al, I agree with your logic, not your maths 🙂


 
Posted : 23/02/2011 10:43 am