Free Practice Question
PS · Problem Solving
sub-505
Combinations
What is the total number of 5-digit palindromes?
Answer Choices
Correct answer marked belowA
720
B
800
C
890
900
Correct
E
950
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.
Explanation
Preview
Official Explanation
Official
A 5-digit palindrome takes the form The first digit can be chosen in 9 different ways (from 1 to 9), the second digit can be selected in 10 ways (from 0 to 9), and the third digit…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
3
Sign in to join the discussion
A
AshMar 20, 2025
Great
C
ChiMar 25, 2025
Can someone explain it other way?
J
JonathanJan 10
Why couldnt 0 be up front?
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.
Details
Difficulty
sub-505
Type
PS
Category