Jenna is building a new apartment complex. The addresses are made up of a 3-digit number and a letter A through E. How many possible address combinations does Jenna have to work with while designing the complex?
Since the leading digit will not be zero, that gives
9*10*10*5 = ___
To determine the total number of possible address combinations, we need to calculate the number of options for each part of the address and then multiply them together.
For the first part, the 3-digit number, we have 10 options for each digit (0-9). Since there are three digits, the total number of options for the 3-digit number is 10 x 10 x 10 = 1000.
For the second part, the letter, we have 5 options (A, B, C, D, E).
To find the total number of address combinations, we multiply the number of options for each part: 1000 x 5 = 5000.
So Jenna has a total of 5000 possible address combinations to work with while designing the complex.
To determine how many possible address combinations Jenna has to work with, we need to find the total number of options for each part of the address and then multiply them together.
First, let's consider the options for the 3-digit number. Since it can range from 000 to 999, we have 1000 possible numbers (including both ends of the range).
Next, let's consider the options for the letter. We are given that it can be any letter from A through E. Since there are 5 letters in this range, we have 5 possible options.
To find the total number of address combinations, we multiply the number of options for the 3-digit number (1000) by the number of options for the letter (5):
Total address combinations = 1000 * 5 = 5000
Therefore, Jenna has 5000 possible address combinations to work with while designing the complex.