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Calculating the total number of gifts in the song “The 12 Days of Christmas” can be a delightful arithmetic exercise, as the cumulative nature of the song means each gift is repeated over several days. Let’s break it down day by day to find the total number of gifts received by the end of this festive tune.
Understanding the Song Structure
The song “The 12 Days of Christmas” is structured so that each stanza builds upon the previous one. Each day, a new gift is introduced, but all the previous gifts are repeated. Here’s a quick recap of the gifts given on each of the 12 days:
- Day 1: A partridge in a pear tree
- Day 2: Two turtle doves and a partridge in a pear tree
- Day 3: Three French hens, two turtle doves, and a partridge in a pear tree
- Day 4: Four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 5: Five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 6: Six geese a-laying, five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 7: Seven swans a-swimming, six geese a-laying, five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 8: Eight maids a-milking, seven swans a-swimming, six geese a-laying, five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 9: Nine ladies dancing, eight maids a-milking, seven swans a-swimming, six geese a-laying, five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 10: Ten lords a-leaping, nine ladies dancing, eight maids a-milking, seven swans a-swimming, six geese a-laying, five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 11: Eleven pipers piping, ten lords a-leaping, nine ladies dancing, eight maids a-milking, seven swans a-swimming, six geese a-laying, five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
- Day 12: Twelve drummers drumming, eleven pipers piping, ten lords a-leaping, nine ladies dancing, eight maids a-milking, seven swans a-swimming, six geese a-laying, five gold rings, four calling birds, three French hens, two turtle doves, and a partridge in a pear tree
Breaking Down the Calculation
Because the gifts are cumulative, we need to calculate the total number of each gift given over the 12 days. Let’s start by listing each type of gift and then counting how many times each appears throughout the song.
1. A Partridge in a Pear Tree:
- Given 12 times (once each day).
2. Two Turtle Doves:
- Given 11 times (from the 2nd day to the 12th day).
3. Three French Hens:
- Given 10 times (from the 3rd day to the 12th day).
4. Four Calling Birds:
- Given 9 times (from the 4th day to the 12th day).
5. Five Gold Rings:
- Given 8 times (from the 5th day to the 12th day).
6. Six Geese a-Laying:
- Given 7 times (from the 6th day to the 12th day).
7. Seven Swans a-Swimming:
- Given 6 times (from the 7th day to the 12th day).
8. Eight Maids a-Milking:
- Given 5 times (from the 8th day to the 12th day).
9. Nine Ladies Dancing:
- Given 4 times (from the 9th day to the 12th day).
10. Ten Lords a-Leaping:
- Given 3 times (from the 10th day to the 12th day).
11. Eleven Pipers Piping:
- Given 2 times (from the 11th day to the 12th day).
12. Twelve Drummers Drumming:
- Given 1 time (on the 12th day only).
Total Calculation
To find the total number of each gift given, we simply multiply the number of times the gift appears in the song by the number of days it is given. Adding these sums together gives us the overall total number of gifts.
- Partridges in a Pear Tree: 12
- Turtle Doves: 12 x 2 = 24
- French Hens: 12 x 3 = 30
- Calling Birds: 12 x 4 = 36
- Gold Rings: 12 x 5 = 40
- Geese a-Laying: 12 x 6 = 42
- Swans a-Swimming: 12 x 7 = 42
- Maids a-Milking: 12 x 8 = 40
- Ladies Dancing: 12 x 9 = 36
- Lords a-Leaping: 12 x 10 = 30
- Pipers Piping: 12 x 11 = 22
- Drummers Drumming: 12 x 12 = 12
To calculate the accurate totals for each, we need to take the sum of the series of multipliers:
- 1 x 12 = 12 (Partridges)
- 2 x 11 = 22 (Turtle Doves)
- 3 x 10 = 30 (French Hens)
- 4 x 9 = 36 (Calling Birds)
- 5 x 8 = 40 (Gold Rings)
- 6 x 7 = 42 (Geese a-Laying)
- 7 x 6 = 42 (Swans a-Swimming)
- 8 x 5 = 40 (Maids a-Milking)
- 9 x 4 = 36 (Ladies Dancing)
- 10 x 3 = 30 (Lords a-Leaping)
- 11 x 2 = 22 (Pipers Piping)
- 12 x 1 = 12 (Drummers Drumming)
Now, let’s add these values together to get the total number of gifts:
Total Gifts = 12 + 22 + 30 + 36 + 40 + 42 + 42 + 40 + 36 + 30 + 22 + 12
Total Gifts = 364
Conclusion
The cumulative nature of "The 12 Days of Christmas" song results in a substantial number of gifts. Over the 12 days, a total of 364 gifts is given, reflecting the joy and abundance celebrated during the Christmas season. This festive tune, therefore, doesn't just charm with its melody but also provides an interesting numerical journey as we tally up the presents shared in the holiday spirit!
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