# MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 20, Monday, October 20.

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MATH 310, FALL 2003 (Combinatorial Problem Solving) Lecture 20, Monday, October 20

5.4. Distributions Homework (MATH 310#7M): Read 5.5 Do 5.4: All odd numbered exercises. Turn in 5.3: 10,26,30,44 Volunteers: ____________ Problem: 44.

Two observations Distributions of distinct objects are equivalent to arrangements. Distributions of identical objects are equivalent to selections.

Equivalent Forms for Selection with Repetirion The number of ways to select r objects with repetition from n different types of objects. The number of ways to distribute r identical objects into n distinct boxes. The number of nonnegative solutions to x 1 + x 2 +... + x n = r.

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