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There is a n x n board. We need to move from (0, 0) to (n, n). We can only let x or y plus on each step. Use P(i, j) to denote the number of different ways to reach (i, j). Prove P(i, j) = Ci+j = (¹+i)

There is a n x n board. We need to move from (0, 0) to (n, n). We can only let x or y plus on each step. Use P(i, j) to denote the number of different ways to reach (i, j). Prove P(i, j) = Ci+j = (¹+i)

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.CT: Test
Problem 11CT: aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _
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< 6:25 3 !! 5G O ●●● Problem 4 There is a n x n board. We need to move from (0,0) to (n, n). We can only let x or y plus on each step. Use P(i, j) to denote the number of different ways to reach (i, j). Prove P(i, j) = Ci+j = (¹+i)
Transcribed Image Text:< 6:25 3 !! 5G O ●●● Problem 4 There is a n x n board. We need to move from (0,0) to (n, n). We can only let x or y plus on each step. Use P(i, j) to denote the number of different ways to reach (i, j). Prove P(i, j) = Ci+j = (¹+i)
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