please explain using the formula  How many ways are there to distribute 7 cookies to 4 kids so that each kid gets at least one cookies?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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please explain using the formula 

How many ways are there to distribute 7 cookies to 4 kids so that each kid gets at least one cookies?

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Step 1

We have to find the no.of ways are there to distribute 7 cookies to 4 kids so that each kid gets at least one cookies

The number of ways of distributing similar balls into Different boxes = The total number of non-negative integral solutions to the equation X₁ + x2 + + x = r

 

= The total number of n-digit binary numbers formedusing (n-1) 1's and r 0's

 

 

  = C (n-1+r , r)

 

  =(n-1) rCr 

 

 

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