Did you know?
Did you know that the number of 5-digit numbers formed from the digits 0, 2, 4, 5, 7, and 8, without repeating any digits, is calculated by applying a few conditions? First, the first digit must be odd, and the last digit must be even. To find the number of possible arrangements, we can consider the options for each digit. There are 3 odd digits (0, 5, and 7) and 3 even digits (2, 4, and 8) available. Since repetition of digits is not allowed, we can select the first digit in 3 ways, the second digit in 5 ways, the third digit in 4 ways, the fourth digit in 3 ways, and finally, the last digit in 2 ways. By multiplying these options, we find that 3 x 5 x 4 x 3 x 2 = 360 different 5-digit numbers can be formed.