How many 6-digit numbers are there where no three con- secutive digits are the same? (For values below 100000, assume we left-pad with explicit 0’s to make it 6 digits.) For example, we would count 123456, 648283, and 112233, but not 173334, 000123, or 111222.

How many 6-digit numbers are there where no three con- secutive digits are the same? (For values below 100000, assume we left-pad with explicit 0’s to make it 6 digits.) For example, we would count 123456, 648283, and 112233, but not 173334, 000123, or 111222.

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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Question

How many 6-digit numbers are there where no three con- secutive digits are the same? (For values below 100000, assume we left-pad with explicit 0’s to make it 6 digits.)

For example, we would count 123456, 648283, and 112233, but not 173334, 000123, or 111222.

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