SOLUTION: PLEASE HELP! A test has 15 true-false questions, then a choice of either completing 5 multiple choice questions with 1 correct answer out of 4, or completing 4 multiple choice q

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Question 1076126: PLEASE HELP!
A test has 15 true-false questions, then a choice of either completing 5 multiple choice questions with 1 correct answer out of 4, or completing 4 multiple choice questions with 1 correct answer out of 5. How many different completed answer sheets are there?

thank you in advance
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The 1st group of possible answers is:
+2%5E15%2A+4%5E5+
The 2nd group of possible answers is:
+2%5E15%2A5%5E4+
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The answers must be EITHER the 1st group
OR the 2nd group, so they get added to find
all the possible answers
--------------------
+2%5E15%2A4%5E5+%2B+2%5E15%2A5%5E4+
+2%5E15%2A%28+4%5E5+%2B+5%5E4+%29+
+32768%2A%28+1024+%2B+625+%29+
+32768%2A1649+=+54034432+
There are 54,034,432 different completed answer sheets
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Definitely get a 2nd opinion on this