Please no written by hand solutions 1. Suppose a new coin is created called the Hepto which is worth exactly 7 cents. What is the largest amount of cents for which you CANNOT make change using only heptos, dimes, and quarters?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Suppose a new coin is created called the Hepto which is worth exactly 7 cents. What is the largest amount of cents for which you CANNOT make change using only heptos, dimes, and quarters?

2. Suppose we have 5 urns. Urn k must hold a number of balls equal to a multiple of k aside from urn 1 which must contain an odd number of balls. If there are exactly 819 ways to place balls into these urns, how many balls must we have?

3. What is the smallest value of k for which C(11/5,k) is negative?

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