SOLUTION: Guillermo wants to create several different 7-character screen names. He wants to use arrangements of the first 3 letters of his first name (Gui), followed by arrangments of 4 digi

Question 309698: Guillermo wants to create several different 7-character screen names. He wants to use arrangements of the first 3 letters of his first name (Gui), followed by arrangments of 4 digits in 1947 the year of his birth. How many differnet screen names can he create in this way?
Answer by alicealc(293) (Show Source): You can put this solution on YOUR website!
number of ways of arrangement the 3 letters (Gui) = 3! = 3 * 2 * 1 = 6
number of ways of arrangement the 4 numbers (1947) = 4! = 4 * 3 * 2 * 1 = 24

if the arrangement started by the letters than followed by the numbers, then number of ways of arrangement 7-character screen name is:
6 * 24 = 144 ways

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