How many numbers of 3 digits and less than 500 can be formed from the integers 3 4 5 and 9 if the digits must be different?

Answer 1

To form a 3-digit number less than 500 with different digits from 3, 4, 5, and 9, we need to consider the following cases:

1. For the hundreds place: 3, 4, and 5 are available options.
2. For the tens place: Any of the remaining three digits can be used.
3. For the units place: Any of the two remaining digits can be used.

Therefore, the total number of 3-digit numbers that can be formed is 3 (choices for hundreds place) x 3 (choices for tens place) x 2 (choices for units place) = 18 numbers.

Answer 2

Oh, what a happy little question! Let's see, we have 4 different integers - 3, 4, 5, and 9. Since the numbers must be less than 500 and have different digits, we can form 4 numbers: 345, 349, 354, and 359. It's like painting a beautiful picture with numbers, just let your imagination flow!

Answer 3

Well, honey, let's break it down for you. You've got 4 choices for the hundreds place, 3 choices for the tens place (can't repeat digits, darling), and 2 choices for the units place. So, that gives you a grand total of 4 x 3 x 2 = 24 numbers of 3 digits or less than 500 that can be formed using the integers 3, 4, 5, and 9. Hope that clears things up for ya, sugar!

Answer 4

12 numbers.