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 12 Days of Christmas (Posted on 2018-11-03)
Over the course of the 12 days of Christmas, according to the song, how many of each type of present did the singer's true love send? ... such as 12 partridges and 22 turtle doves.

Please give the formula and the 12 numbers, so we can see the most and least abundant gifts.

 See The Solution Submitted by Charlie No Rating

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 soln Comment 1 of 1
The  1 item of the day-one gift is given for 12 days. Total=  (1 ) x (12)
The  2 items         day-two gifts                 11  days            (2 ) x (11)
...
12 items    day-twelve gifts                    1  days          (12) x  ( 1)

So, total_i = (i) (13-i) = 13 i - i^2  for i= gift 1,...12

= 12 22 30 36 40 42 42 40 36 30 22 12 for i= gift 1,...12

(So "geese a laying" tie "swans a swimming" at 42, for the most, no.s 6 and 7.

Edited on November 3, 2018, 8:54 am
 Posted by Steven Lord on 2018-11-03 08:41:57

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