The Student Room Group

Permutation and Combination

Four digits are chosen from the digits 1,1,2,2,3,3,4,4 and are arranged. How many different numbers can be formed which exceed three thousands?
There's probably a really good mathsy way to do it. Common sense tells me this, though:


I would just bodge it by finding the total amount of 4-number combinations.

And then there's a 50% probability that the first number is a 3 or a 4 making the number >3000.


So divide that total by 2 and you're there.


@TeeEm for a better answer.
Reply 2
Original post by Supersaps
There's probably a really good mathsy way to do it. Common sense tells me this, though:


I would just bodge it by finding the total amount of 4-number combinations.

And then there's a 50% probability that the first number is a 3 or a 4 making the number >3000.


So divide that total by 2 and you're there.


@TeeEm for a better answer.


could you do it and show me?
Reply 3
will do this tomorrow
Reply 4
Original post by TeeEm
will do this tomorrow

okay thanks, they you explain it to me please!
Reply 5
Original post by SamNb
okay thanks, they you explain it to me please!


I got 66
Reply 6
Original post by TeeEm
I got 66


Ain't the answer mate!
The answer is 102, but i don't know how to do that!!

Can you give your workings?
Reply 7
Original post by SamNb
Ain't the answer mate!
The answer is 102, but i don't know how to do that!!

Can you give your workings?


sorry yes 102
tiny number error
Reply 8
Original post by TeeEm
sorry yes 102
tiny number error


Can you explain it to me??
Reply 9
Original post by SamNb
Can you explain it to me??


I am off to my morning walk now
After my walk I can.
Reply 10
Original post by TeeEm
I am off to my morning walk now
After my walk I can.


Okay thanks! i'll check back later. :smile:
Reply 11
That is one of a long walk! :colonhash:
Reply 12
Original post by SamNb
That is one of a long walk! :colonhash:


what seems to be the problem son?
Reply 15
Original post by SamNb
thank you! :colonhash:


my pleasure as always

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