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?
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)
Combination problems are solved.