Question

Be prepared to work this problem and discuss why you work it the way you do: Jerell is trying to teach a first grader to write his last name. The last name of the student is Aassekoopannessyttoodde. The child is really struggling. He knows the letters in his name, but he gets them out of order. Jerrell wonders if it takes the student every possible letter order before he gets it right, how many different orders he would have to go through. How many different orders would there be?

Answer 1

The number of different orders for writing the last name Aassekoopannessyttoodde is calculated as the factorial of the number of letters in the name, which is 23. The factorial, denoted as 23!, is a very large number and signifies the total unique arrangements of the letters.

Step-by-step explanation:

To determine how many different orders there would be for the student to write his last name, Aassekoopannessyttoodde, we calculate the number of permutations for the letters in the name. Since the name consists of unique characters, the calculation is a factorial of the number of characters in the name. The factorials give us the total number of unique ways to arrange a set of items and is represented by the symbol '!'. In this case, we would need to calculate the factorial of the number of letters in the last name.

Upon counting the letters in Aassekoopannessyttoodde, we find there are 23 characters in total. Therefore, the number of different orders for the letters of this name would be 23!, which is a very large number.

23! = 23 x 22 x 21 x ... x 1, which is beyond the scope of manual calculation and typically requires the use of a calculator or computer software. However, it is important to note that this number is exceptionally large, running into the quintillions, making it practically impossible for the student to try every possible order by trial and error.