All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Pandigital W numbers (Posted on 2023-05-30) Difficulty: 3 of 5
A "W" number is one whose digits are initially decreasing, then alternate between decreasing and increasing making exactly three changes of direction. Defining the first and last digit as always being either a peak or a valley, a W number has 3 peaks and 2 valleys.

For example 98246417 is a W number, with peaks at 9, 6, and 7; and valleys at 2 and 1. But 874679642 is not, because it only has 2 peaks and 2 valleys making only two changes of direction.

How many 10-digit pandigital W numbers are there?

See The Solution Submitted by Larry    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Stumble guys gameLaydi Hana2023-06-05 05:06:24
No Subjectnamdosan14092023-06-05 04:25:48
Some ThoughtsPuzzle ThoughtsK Sengupta2023-05-30 22:24:58
SolutionsolutionCharlie2023-05-30 10:02:36
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (11)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information