Given the numbers {6, 9, 4, 8}, how many distinct values of k exist such that the sum of k and 3 of the 4 numbers equals 30?

Answer Choices

Correct answer marked below

Correct

Infinitely many

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

For any selection of three numbers from the set, there will be a corresponding value of k. Since all four numbers are unique, each selection will yield a…

Read the full explanation

Create free account Sign in

Comments

AmberMar 12, 2025

Tricky wording but good practice

GabrielApr 7, 2025

thanks a lot

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.