How many 8-digit positive integers consist only of the digits 1 and 3, and contain at least one pair of consecutive 1s?

Wed, 06 May 2026 00:51:13 +0000

**How Many 8-Digit Positive Integers Consist Only of 1s and 3s with at Least One Pair of Consecutive 1s?** How many 8-digit numbers made only of the digits 1 and 3 contain at least one pair of consecutive 1s? At first glance, this question might feel abstract—especially in a digital age steeped in data and precise logic. But behind its simplicity lies a fascinating blend of combinatorics, pattern recognition, and digital curiosity. More than just a math puzzle, this inquiry taps into the growing fascination with structured randomness and algorithmic thinking—particularly among US users exploring data boundaries, coding challenges, and digital trends. While many still approach this as a abstract numbers game, today’s users are increasingly drawn to concrete answers fueled by curiosity. The prompt reflects engagement in niche communities where logic puzzles and structured permutations spark discussion—especially within mobile-first audiences seeking clarity amid complexity. **Why This Pattern Is Gaining Attention**