   Chapter 14.1, Problem 57E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Distributions A man bought three vanilla ice-cream cones, two chocolate cones, four strawberry cones, and five butter-scotch cones for his 14 children. In how many ways can he distribute the cones among his children?

To determine

To find:

The number of ways of distribution of the cones among children.

Explanation

Given:

The total number of children is 14

The total number of flavors available is 4

The total number of vanilla cones is 3

The total number of chocolate cones is 2

The total number of strawberry cones is 4

The total number of butter scotch cones is 5

Approach:

The number of permutations of n objects of which p1 are of one kind, p2 are of second kind, pk are of kth kind and so on, is

n!p1!p2!......pk!(1)

Calculation:

Substitute the values, 14 for n, 4 for k, 3 for p1

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