If four children's books in the category of fantasy fiction, two in the category of fairytales, and four in the category of realistic fiction are selected to be given to a charity organization, the total number of combinations is 450. Is this correct? Justify your answer.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A. Mr. de Mesa has fifteen different children's books. Five of the fifteen children's books are in the category of fantasy fiction, two are in the category of fairytales, three are in the category of biography, and five are in the category of realistic fiction. If four children's books in the category of fantasy fiction, two in the category of fairytales, and four in the category of realistic fiction are selected to be given to a charity organization, the total number of combinations is 450. Is this correct? Justify your answer. B. Mr. Sta. Rosa plans to put six different packs of biscuits (U, V, W, X, Y, and Z) in a row for display in his sari-sari store. He wants to know that if U, V, W, and Y are packs of biscuits of the same brand and should be displayed next to each other, the number of ways they can be displayed is 280. Is this correct? Why?
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