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A piano has 88 keys. Assume that at least one key is played. i. How many ways can up to three keys be played in succession? ii. How many ways can up to three different keys be played in succession? iii. How many ways can up to three keys be played in simultaneously?

A piano has 88 keys. Assume that at least one key is played. i. How many ways can up to three keys be played in succession? ii. How many ways can up to three different keys be played in succession? iii. How many ways can up to three keys be played in simultaneously?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A piano has 88 keys. Assume that at least one key is played.

i. How many ways can up to three keys be played in succession?

ii. How many ways can up to three different keys be played in succession?

iii. How many ways can up to three keys be played in simultaneously?

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