October 23rd, 2014, 08:55 PM  #1 
Newbie Joined: Oct 2014 From: los angeles Posts: 17 Thanks: 0  counting problem
Q1 Two dice are rolled , one blue and one red. how many outcomes have either the blue die 3 or an even or both? Q2 How many integers from 1 to 10,000 , inclusive , are multiples of 5 or 7 or both? 
October 24th, 2014, 01:03 AM  #2 
Senior Member Joined: Mar 2012 Posts: 569 Thanks: 26 
Without just giving you the answer, the point of the questions is to think about inclusion/exclusion. Think about a Venn diagram with two overlapping circles. If you want to count the number of elements of the two sets, you need to 1) count the members of each 2) subtract the overlapping area, to avoid doublecounting. Whereas if the circles don't overlap you can simply count the members of both sets and add.

October 24th, 2014, 02:05 AM  #3  
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230  Quote:
\textbf{For 5, you need to divide by 5. For 7, you need to divide by 7. In this case,}\\ \textbf{you need to divide by }5 \times 7 =35$  
October 24th, 2014, 08:24 AM  #4  
Newbie Joined: Oct 2014 From: los angeles Posts: 17 Thanks: 0  Quote:
so shall I just add (10,000/5)+(10,000/7) (10,000/35)? i got it thank you so much  
October 24th, 2014, 10:46 AM  #5 
Senior Member Joined: Mar 2012 Posts: 569 Thanks: 26  

Tags 
counting, problem 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Counting problem  superconduct  Algebra  2  January 7th, 2014 11:01 AM 
Counting Problem  yo79  Math Events  6  February 26th, 2013 01:54 PM 
Counting problem  zelmac  Algebra  0  February 14th, 2013 06:29 AM 
A Counting Problem  sjeddie  Advanced Statistics  2  May 26th, 2011 06:35 PM 
Counting Problem  julian21  Number Theory  3  May 4th, 2010 10:55 AM 