Final bid to brilliant!

A man has 5 Brilliant logos (of different colours) and had to distribute it among his three sons. Find the total number of ways in which these 5 logos can be distributed among his three sons so that no son gets angry ( i.e. each son gets at least one logo \text{i.e. each son gets at least one logo} ) .

Details and Assumptions :

Note that each of the logo is Distinct .


The answer is 150.

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1 solution

Hitesh Yadav
Apr 19, 2020

Use Principle of inclusion and exclusion . I leave it up to you to solve. Hint: Let there be 3 sets A,B,C for three sons. Let U be universal set in which you'll count the possibilities of empty ones. Then subtract from U , A U B U C. For more go to distinct objects into distinct bins

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