Find the number of ways to partition the numbers 1, 2, . . . , 12 into four sets of three numbers, so that the sum of the number
1 answer:
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We see on the picture that :
When we go down one row, we add one horizontal and two diagonal cards.
In the first row we have 2 cards
In the second 2+3=5 cards
In the third 5+3=8 cards
etc.
General formula : in the n-th row from the top, we have
When we go down one row, we add one horizontal and two diagonal cards.
In the first row we have 2 cards
In the second 2+3=5 cards
In the third 5+3=8 cards
etc.
General formula : in the n-th row from the top, we have
