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brenyasanders4001
05.08.2019 •
Mathematics
How many partitions of $12$ are there that have at least four parts, such that the largest, second-largest, third-largest, and fourth-largest parts are respectively greater than or equal to $4,3,2,1$?
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Ответ:
4 , 4 , 2 , 2
4, 3 , 3 , 2
Step-by-step explanation:
Given data in the problem:
total value = 12
now,
each partition should be greater than or equal to 4 , 3 , 2 , 1
now, the sum of the above terms comes as:
4 + 3 + 2 + 1 = 10
difference from the original values : 12 - 10 = 2
so we can divide 2 into two equal parts to the number 3 and 1
thus, we get the partitions as:
4 , (3 + 1) , 2 , (1 + 1) = 4 , 4 , 2 , 2
and another partition can be
4, 3, (2 + 1), (1 + 1) = 4, 3 , 3 , 2
Ответ:
- 2x/3 + 1
I hope t his helps
have a great day