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(a) In how many ways can Team A win? (b) What if the tournament goes all 7 games? So Team A wins the last game. How many ways can the first 6 games go down? (c) What if the tourney goes 6 games? So Team A wins the 6th game which ends the series. How many ways can this happen? What about 5 games? 4 games? (d) Using parts (a)-(c), write two different ways to compute the number of ways Team A can win. Write an equation involving binomial coefficients in the form (2). (e) Write the general formula for an n game tournament with k wins required to be named champion.

(a) In how many ways can Team A win? (b) What if the tournament goes all 7 games? So Team A wins the last game. How many ways can the first 6 games go down? (c) What if the tourney goes 6 games? So Team A wins the 6th game which ends the series. How many ways can this happen? What about 5 games? 4 games? (d) Using parts (a)-(c), write two different ways to compute the number of ways Team A can win. Write an equation involving binomial coefficients in the form (2). (e) Write the general formula for an n game tournament with k wins required to be named champion.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The Stanley Cup is decided in a best of 7 tournament between Team A and Team B. (a) In how many ways can Team A win? (b) What if the tournament goes all 7 games? So Team A wins the last game. How many ways can the first 6 games go down? (c) What if the tourney goes 6 games? So Team A wins the 6th game which ends the series. How many ways can this happen? What about 5 games? 4 games? (d) Using parts (a)-(c), write two different ways to compute the number of ways Team A can win. Write an equation involving binomial coefficients in the form (2). (e) Write the general formula for an n game tournament with k wins required to be named champion.
Transcribed Image Text:The Stanley Cup is decided in a best of 7 tournament between Team A and Team B. (a) In how many ways can Team A win? (b) What if the tournament goes all 7 games? So Team A wins the last game. How many ways can the first 6 games go down? (c) What if the tourney goes 6 games? So Team A wins the 6th game which ends the series. How many ways can this happen? What about 5 games? 4 games? (d) Using parts (a)-(c), write two different ways to compute the number of ways Team A can win. Write an equation involving binomial coefficients in the form (2). (e) Write the general formula for an n game tournament with k wins required to be named champion.
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