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**Roger L****Member**- Registered: 2017-12-11
- Posts: 1

The correct answer to this puzzle should be 376 instead of 364 as stated in the answer. This is because in the first day of Christmas you receive a partridge but you also receive a pear tree since the partridge is IN the pear tree. At the end you should add 12 pear trees.

Hope my assumption is correct.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,578

Hi Roger L,

You have not given the text of the puzzle. Please provide the entire problem.

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**Alg Num Theory****Member**- Registered: 2017-11-24
- Posts: 27
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http://www.mathsisfun.com/puzzles/12-da … ution.html

It’s a partridge IN a pear tree, not partridge AND a pear tree. The tree provides a setting for the bird to be in and is not counted as a separate gift.

The solution is involves a sum of triangular numbers

where

*Last edited by Alg Num Theory (2017-12-11 21:53:48)*

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,206

hi Roger L

Welcome to the forum.

Hhhmmm. Interesting interpretation. What constitutes a 'present' ? As the geese are laying should we also count the eggs ? And if the ladies are wearing jewelry should we also count those items ? This could go on for some time.

And is it acceptable to 'give' people as presents anyway ? Sounds illegal to me.

This puzzle was used back in the days of GCSE coursework as an investigation. The usual format for these was (1) state a problem (2) get some data (3) look for a formula (4) prove it (5) consider extensions. You seem to have leapt to step (5). But you have to use some algebra and prove it to get the higher marks.

Thanks to Alg Num Theory for the formula.

ganesh: It's from the MIF puzzles:

http://www.mathsisfun.com/puzzles/12-da … stmas.html

**Best wishes and a happy Christmas to all.**

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,578

Hi,

It's from the MIF puzzles:

Thank you, bob bundy!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,206

And one more thing:

On the third day of Christmas (27th December and so on) my true love sent to me SIX presents:

. Three French hens

. Two turtle doves

. A partridge in a pear tree

The wording does make it clear what constitutes a 'present'.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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