Question 1197366: A committee of 4 people is to be formed from a pool of 8 people. What is the probability James is in the
committee?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52776)   (Show Source):
You can put this solution on YOUR website! .
P =  =  =  = 0.5 = 50%. ANSWER
The denominator is the number of all different possible quadruples of 8.
The numerator is the number of all such quadruples containing James.
Solved and explained.
-----------------
This problem assumes that you are familiar with COMBINATIONS - - - this knowledge is a pre-requisite.
On Combinations, see introductory lessons
- Introduction to Combinations
- PROOF of the formula on the number of Combinations
- Problems on Combinations
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
- ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this online textbook under the topic "Combinatorics: Combinations and permutations".
Save the link to this textbook together with its description
Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson
into your archive and use when it is needed.
\\\\\\\\\\\\\\\\\\\
Sometimes, when I explain such solutions to students, I calculate the number of combinations manually,
using and showing explicit formulas.
But had I do it this way every time, I, probably, would lose my mind.
Therefore, often I use MS Excel software in my computer writing
=combin(N,n), when I need the value  .
Answer by greenestamps(13198)  (Show Source):
|
|
|
