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3. Write a procedure that produces Pascal's Triangle. Pascal's Triangle computes the binomial coefficients of (2), where n is the row number and ki the kth item in the nth row, with n, k = 0, 1, 2 ... 1 1 1 1 1 2 1 3 3 1 1 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 464 (9) () (1) () () () () () () () () () () () () () 6 (₁) (5) () () (5) Also notice that each inner element is the sum of the two straddling elements above it. For example, 10 in the 5th row is equal to 4 + 6 from the 4th row. Also notice that each inner element is the sum of the adjacent diagonal. For example, 15 = 1+ 2+ 3+ 4+ 5 = 1 + 4 + 10 Also notice that Pascal's Triangle is symmetric. There are many other properties, but you may use any, all, or none of these to write your function, or you may find other properties to use.

3. Write a procedure that produces Pascal's Triangle. Pascal's Triangle computes the binomial coefficients of (2), where n is the row number and ki the kth item in the nth row, with n, k = 0, 1, 2 ... 1 1 1 1 1 2 1 3 3 1 1 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 464 (9) () (1) () () () () () () () () () () () () () 6 (₁) (5) () () (5) Also notice that each inner element is the sum of the two straddling elements above it. For example, 10 in the 5th row is equal to 4 + 6 from the 4th row. Also notice that each inner element is the sum of the adjacent diagonal. For example, 15 = 1+ 2+ 3+ 4+ 5 = 1 + 4 + 10 Also notice that Pascal's Triangle is symmetric. There are many other properties, but you may use any, all, or none of these to write your function, or you may find other properties to use.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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3. Write a procedure that produces Pascal's Triangle. Pascal's Triangle computes the binomial coefficients of the kth item in the nth row, with n, k = 0, 1, 2 ... 1 1 1 1 1 2 1 3 3 1 1 4 6 4 1 5 10 10 5 1 1 16 15 20 15 6 1 1 7 21 35 35 21 7 1 (²), where n is the row number and k is (4) (9) () () (²) (1) (3) (₁) () () () Also notice that each inner element is the sum of the two straddling elements above it. For example, 10 in the 5th row is equal to 4 + 6 from the 4th row. Also notice that each inner element is the sum of the adjacent diagonal. For example, 15 1+2+3+4+5 = 1+4+10 Also notice that Pascal's Triangle is symmetric. There are many other properties, but you may use any, all, or none of these to write your function, or you may find other properties to use.
Transcribed Image Text:3. Write a procedure that produces Pascal's Triangle. Pascal's Triangle computes the binomial coefficients of the kth item in the nth row, with n, k = 0, 1, 2 ... 1 1 1 1 1 2 1 3 3 1 1 4 6 4 1 5 10 10 5 1 1 16 15 20 15 6 1 1 7 21 35 35 21 7 1 (²), where n is the row number and k is (4) (9) () () (²) (1) (3) (₁) () () () Also notice that each inner element is the sum of the two straddling elements above it. For example, 10 in the 5th row is equal to 4 + 6 from the 4th row. Also notice that each inner element is the sum of the adjacent diagonal. For example, 15 1+2+3+4+5 = 1+4+10 Also notice that Pascal's Triangle is symmetric. There are many other properties, but you may use any, all, or none of these to write your function, or you may find other properties to use.
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