Make 3-digit numbers using 3, 2, and 4 without repeating any digit and colour the greatest number with red and smallest number with yellow.
Step 1: List all possible 3-digit numbers using digits 3, 2, and 4 without repetition: 234, 243, 324, 342, 423, 432
Step 2: Find the greatest number: Greatest number = 432 (colour red)
Step 3: Find the smallest number: Smallest number = 234 (colour yellow)
Explanation
Using digits 3, 2, and 4 without repetition, we can make 6 different 3-digit numbers. To find the greatest, put the largest digit (4) in hundreds place, next largest (3) in tens, smallest (2) in ones: 432. To find the smallest, reverse this: 234.
Solution Steps
Step 1: List all possible arrangements: 234, 243, 324, 342, 423, 432
Step 2: Compare to find greatest: 432 (largest hundreds digit)
Step 3: Compare to find smallest: 234 (smallest hundreds digit)