There are 5 choices for the first letter and 4 choices for the second letter (since no repetition is allowed). For the first digit, there are 6 choices, for the second digit there are 5 choices, and for the third digit there are 4 choices (again, no repetition is allowed). Therefore, the total number of possible house numbers is:
5 x 4 x 6 x 5 x 4 = 2,400
If they sell all house numbers at P100 each, they will receive:
2,400 x P100 = P240,000
Therefore, they will receive P240,000 if all house numbers are taken.
The newly elected officers of a subdivision are planning to produce a house number made up of 2 letters and 3 digits. The letters to be used are from A to E only and the digits are from 0 to 5 with no repetition. These will be sold to the members at P100 each to recover the expenses and to raise some funds. If all house numbers are taken, how much money will they receive?
1 answer