Question

Suppose you want to make a password of letters and numbers where capital and lowercase letters are different. How many ways can you make a password with the first three characters beings letters and the last 2 being numbers.

Answer 1

To make a password with the first three characters being letters and the last two being numbers, there are 17,576,000 possible ways.

Step-by-step explanation:

To find the number of ways to make a password with the first three characters being letters and the last two being numbers, we need to consider the number of choices for each character.

For the first three characters, we have 26 choices for each character (since there are 26 letters in the alphabet, and capital and lowercase letters are different). So, the total number of choices for the first three characters is 26 * 26 * 26.

For the last two characters, we have 10 choices for each character (since there are 10 numbers from 0 to 9). So, the total number of choices for the last two characters is 10 * 10.

To find the total number of ways to make the password, we multiply the number of choices for the first three characters by the number of choices for the last two characters: 26 * 26 * 26 * 10 * 10 = 17,576,000.