Q1: a) As a fundraiser, a local GAA club runs a lotto-type draw in which 4 numbers are drawn from 20. As well as paying out a prize for a ticket with all four winning numbers, the club also refunds the price of any ticket which has none of the winning numbers. How many different tickets are there, and how many of them will have none of the four winning numbers?

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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Q1: a) As a fundraiser, a local GAA club runs a lotto-type draw in which 4 numbers are drawn from 20. As
well as paying out a prize for a ticket with all four winning numbers, the club also refunds the price
of any ticket which has none of the winning numbers. How many different tickets are there, and
how many of them will have none of the four winning numbers?
 b) At the end of each season, two soccer leagues have an inter-league knock-out tournament between
the top 4 teams in each league – in which the winners of each league play the 4th team in the other
and the runners-up play the 3rd team from the other league. If one league has 10 teams and the
other league has 12 teams, how many different possible quarter-final line-ups are there?

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