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Combination Application Word Problems

Exercise # 1

A) How many nonnegative integer solutions are there to the pair of equations:

B) How many ways are there to distribute 20 toys to m children such that the first two children get the same number of toys if:
1- The toys are identical?
2- The toys are distinct?

Exercise #2

A) Prove that:

B) What is the value of the sum on each side?

C) Show that , m < n

(See attached file for full problem description and equations)


Solution Summary

Combination problems are solved.