Practice By Tag: Counting Solutions of Linear Equations
Question: 2015 Fall Final - 111 .
Nick gets 75 bananas for his birthday. He decides to eat them all over a period of 5 days. In order
to do this, Nick makes a banana-schedule, which specifies the number of bananas he is going to eat
on the first day, on the second day, etc., up to the fifth day. For example, (20, 20, 10, 20, 5),
(40, 13, 0, 20, 2), and (40, 13, 20, 2, 0) are three different banana-schedules. What is the
total number of banana-schedules?
(a)
${79 \choose 5}$
(b)
${79 \choose 4}$
(c)
${80 \choose 5}$
(d)
${80 \choose 4}$