In a men's soccer league, each player is assigned a two-digit number for their jersey. If the league only utilizes the digits 1-6, what is the greatest number of players that can participate in the league without any player having a number with repeated digits (e.g., 33), and ensuring that no two players share the same number?

Answer Choices

Correct answer marked below

Correct

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

In this scenario, we need to determine how many unique two-digit jersey numbers can be created using the digits 1-6 without repetition. Stage 1 involves choosing the first digit. There are 6 options (1, 2, 3, 4, 5, or 6) available for this choice. Stage 2 requires selecting the second digit, but…

Read the full explanation

Create free account Sign in

Comments

ethanJul 26, 2024

thank you for sharing

KshitizOct 28, 2024

Thank for sharing!!!

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.