3. The Alumni of Saint Belousov University have decided to run a lottery in support of the University Tiddlywinks team. The lottery committee agree that ticket buyers will pick 5 letters from the 13 different letters that make up the name of the University: s, a, i, n, t, b, e, l, o, u, v, r, y. How many different tickets are possible if: (a) XXXX The order in which the letters are picked is not important and no letter may be repeated (eg. saint and stain give the same ticket.) 3 XXX The order is taken into account and letters may be repeated (eg. abbab and aabbb are different tickets) The order is taken into account and letters may be repeated but exactly three of the letters must be vowels. (eg. asalo. Note: y is not considered to be a vowel in this instance.)
3. The Alumni of Saint Belousov University have decided to run a lottery in support of the University Tiddlywinks team. The lottery committee agree that ticket buyers will pick 5 letters from the 13 different letters that make up the name of the University: s, a, i, n, t, b, e, l, o, u, v, r, y. How many different tickets are possible if: (a) XXXX The order in which the letters are picked is not important and no letter may be repeated (eg. saint and stain give the same ticket.) 3 XXX The order is taken into account and letters may be repeated (eg. abbab and aabbb are different tickets) The order is taken into account and letters may be repeated but exactly three of the letters must be vowels. (eg. asalo. Note: y is not considered to be a vowel in this instance.)
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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Transcribed Image Text:3. The Alumni of Saint Belousov University have decided to run a lottery in support of the University
Tiddlywinks team. The lottery committee agree that ticket buyers will pick 5 letters from the 13
different letters that make up the name of the University: s, a, i, n, t, b, e, l, o, u, v, r, y.
How many different tickets are possible if:
(a)
The order in which the letters are picked is not important and no letter may be repeated
(eg. saint and stain give the same ticket.)
(b) XXX The order is taken into account and letters may be repeated (eg. abbab and aabbb are
different tickets)
(c) XX
The order is taken into account and letters may be repeated but exactly three of the
letters must be vowels. (eg. asalo. Note: y is not considered to be a vowel in this instance.)
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