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1 . 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)
${80 \choose 4}$
(b)
${80 \choose 5}$
(c)
${79 \choose 4}$
(d)
${79 \choose 5}$