Jawab:The entry in the nth row and kth column of Pascal's triangle is denoted {\displaystyle {\tbinom {n}{k}}} {\tbinom {n}{k}}. For example, the unique nonzero entry in the topmost row is {\displaystyle {\tbinom {0}{0}}=1} {\tbinom {0}{0}}=1. With this notation, the construction of the previous paragraph may be written as follows:
for any non-negative integer n and any integer k between 0 and n, inclusive.[4] This recurrence for the binomial coefficients is known as Pascal's rule.
Pascal's triangle has higher dimensional generalizations. The three-dimensional version is called Pascal's pyramid or Pascal's tetrahedron, while the general versions are called Pascal's simplices.
Jawab:The entry in the nth row and kth column of Pascal's triangle is denoted {\displaystyle {\tbinom {n}{k}}} {\tbinom {n}{k}}. For example, the unique nonzero entry in the topmost row is {\displaystyle {\tbinom {0}{0}}=1} {\tbinom {0}{0}}=1. With this notation, the construction of the previous paragraph may be written as follows:
{\displaystyle {n \choose k}={n-1 \choose k-1}+{n-1 \choose k}} {n \choose k}={n-1 \choose k-1}+{n-1 \choose k},
for any non-negative integer n and any integer k between 0 and n, inclusive.[4] This recurrence for the binomial coefficients is known as Pascal's rule.
Pascal's triangle has higher dimensional generalizations. The three-dimensional version is called Pascal's pyramid or Pascal's tetrahedron, while the general versions are called Pascal's simplices.
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