How many numbers greater than 200 can be formed from the digits 1,2,3,4,5 if no digits is to be repeated in any particular number?
1st digit: 4 choices
2nd digit: 4 choices
3rd digit: 3 choices
so, 4*4*3 numbers in all
umm ... all 4 and 5 digit numbers are greater than 200
didn't see a digit limitation
add in ... 2 * 5!
How many numbers greater than 200 can be formed using the digits 1, 2, 3, 4, and 5 if no digit may be repeated?
To find the number of numbers greater than 200 that can be formed from the digits 1, 2, 3, 4, 5, without repeating any digit, we can follow these steps:
Step 1: Count the total number of digits available to choose from. In this case, we have 5 digits: 1, 2, 3, 4, 5.
Step 2: Determine the number of choices for each position in the number.
- For the hundreds place, we can choose any of the digits 2, 3, 4, 5 (since we need numbers greater than 200).
- For the tens place, we can choose any of the remaining 4 digits after choosing one for the hundreds place.
- For the units place, we can choose any of the remaining 3 digits after choosing two for the hundreds and tens places.
Step 3: Use the principle of multiplication to find the total number of numbers.
Number of numbers = Number of choices for hundreds place × Number of choices for tens place × Number of choices for units place
Number of numbers = 4 × 4 × 3 = 48
Therefore, there are 48 numbers greater than 200 that can be formed using the digits 1, 2, 3, 4, and 5 without repeating any digit.