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Maths: I need help on this question

Maire has 25 cards
Each card has a different symbol on it
Marie gives one card to Shelly and one to Pauline
In how many different ways can Marie do this?
Original post by 12115
Maire has 25 cards
Each card has a different symbol on it
Marie gives one card to Shelly and one to Pauline
In how many different ways can Marie do this?


She can give 25 different cards to Shelly
She can give 24 different cards to paulie because shelly already has one.
So the answer will be
25 x 24 = 600

If you don't understand something tell me and ill explain it
(edited 6 years ago)
that topic is called permutations.
Reply 3
Original post by Balkaran
She can give 25 different cards to Shelly
She can give 24 different cards to paulie because shelly already has one.
So the answer will be
25 x 24 = 600

If you don't understand something tell me and ill explain it



Thank you so much, so it is a little bit like a tree diagram
-12115
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Original post by ineedthosegrades
that topic is called permutations.


What is the difference between combinations and permutations?
Original post by 12115
Thank you so much, so it is a little bit like a tree diagram
-12115


Kind of but it would be too long to write it out in that way. So you do this
And with tree diagrams you work out probability this you're not working out probability
(edited 6 years ago)
Reply 7
Original post by Balkaran
Kind of but it would be too long to write it out in that way. So you do this
And with tree diagrams you work out probability this you're not working out probability


Cool thank you Mr Balkaran

-12115
Original post by 12115
Thank you so much, so it is a little bit like a tree diagram
-12115



It will be too long to write each individual out come so this is the method
Proof the method works
Lets say there was only 3 cards a 1,2,3
She can 1 of the 3 to shelly
and 1 of the 2 reaming to paulie
3 x 2 =6
Writing it out:
Shelly: Paulie: Remainig card:
1 2 3
1 3 2
2 1 3
2 3 1
3 1 2
3 2 1

Look there are 6 different out comes
Original post by 12115
Cool thank you Mr Balkaran

-12115


No problem
Reply 10
Original post by Balkaran
It will be too long to write each individual out come so this is the method
Proof the method works
Lets say there was only 3 cards a 1,2,3
She can 1 of the 3 to shelly
and 1 of the 2 reaming to paulie
3 x 2 =6
Writing it out:
Shelly: Paulie: Remainig card:
1 2 3
1 3 2
2 1 3
2 3 1
3 1 2
3 2 1

Look there are 6 different out comes

Oh, I get it now, so your way is a lot easier than a tree diagram.
I genuinely though I had to draw out a tree diagram to show all the possibilities.

Thank you

BTW- r u Tamil because your name sounds asian.
Original post by TheMightyBadger
What is the difference between combinations and permutations?


for combinations, the order of the items does not matter. So Alice,Mark,John is the same as Mark,John,Alice. However, the order in permutations does. In permutations, you try to find all the different ways in which something can be done. So if the question was: How many different ways can Alice, John and Mark be written out, we can do 3! (factorial) (shift+x^-1) to give us 6, so there are 6 ways of writing their names. However, if it asks: There are 50 sweets in a box Jack picks 2 of them, how many ways can he do this? In the question the order does not matter so we do 50x49 to give us 2450 number ways of picking 2 sweets.
(edited 6 years ago)
Original post by 12115
Oh, I get it now, so your way is a lot easier than a tree diagram.
I genuinely though I had to draw out a tree diagram to show all the possibilities.

Thank you

BTW- r u Tamil because your name sounds asian.


No I'm Indian me and my parents were born here in the UK but my grand parents are from India
Reply 13
Original post by Balkaran
No I'm Indian me and my parents were born here in the UK but my grand parents are from India


Hi Mr Balkaran
How old are you, if you don't mind me asking?
Original post by 12115
Hi Mr Balkaran
How old are you, if you don't mind me asking?


I'm 15 turning 16 in 2 months.
I'm in year 11
Reply 15
Original post by Balkaran
I'm 15 turning 16 in 2 months.
I'm in year 11


Hey same,
I'm 16, in year 11. Turned 16 in April and I live in the UK.

Lol
Reply 16
Original post by Balkaran
She can give 25 different cards to Shelly
She can give 24 different cards to paulie because shelly already has one.
So the answer will be
25 x 24 = 600

If you don't understand something tell me and ill explain it


why does shelly have one more that paulie
Reply 17
Original post by 12115
Maire has 25 cards
Each card has a different symbol on it
Marie gives one card to Shelly and one to Pauline
In how many different ways can Marie do this?


Marie has 25 cards, and she wants to give one card to Shelly and one card to Pauline. The order in which she gives the cards does not matter since all cards are different symbols. To find the number of different ways Marie can do this, you can use combinations.

The number of ways to choose 2 cards out of 25 distinct cards is given by the combination formula:

C(25, 2) = 25! / [2!(25-2)!]

C(25, 2) = (25 * 24) / (2 * 1) = 600

So, Marie can give the cards to Shelly and Pauline in 600 different ways.
I hope you get the answer.
Reply 18
Original post by newtum
Marie has 25 cards, and she wants to give one card to Shelly and one card to Pauline. The order in which she gives the cards does not matter since all cards are different symbols. To find the number of different ways Marie can do this, you can use combinations.



Please don't resurrect 6 year old threads, and please read the posting guidelines for this forum - specifically the fact that we don't post full solutions!

Thanks :smile:

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