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Math

Probability

How many different ways can 8 players among those 24, qualify for the quarter-finals?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

DO NOT use any other symbol except numbers in the answer slot)

In a tournament if there are 24 participants. [The answers of the following questions are integers.Put the answer only.Don't use space,decimal points,comma etc]

i. How many different ways can 8 players among those 24, qualify for the quarter-finals?

ii. After 8 players being selected for the quarter finals, in the quarter final round each of them will be playing against all 7 other quarter-finalists. How many matches will be held in the quarter final round in total?

iii. Each of the 4 semi finalists selected from the quarter-finals will be awarded either a medal or a crest or a trophy according to his/her wish. In how many ways can they be rewarded? [Hint: For each of them there are 3 options, they can take any one of those three prizes]

iv. What is the value of k#4 where (24c4-24ck) =0?

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