If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive more than one ball?
If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive more than one ball?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive more than one ball?
Expert Solution
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Step 1
Define the event,
A : no box will receive more than one ball
If 12 balls are thrown into 20 boxes then the number of ways the balls can be filled, n(S)= 2012
Now, if no box contains more than one ball then the number of ways the ball can be filled, n(A) =
Explanation : The number of ways 12 boxes can be selected from 20 boxes = , the number of ways the balls can be arranged = 12!
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