Final answer:
To find the number of words that can be made out of 'santa claus,' we can use the concept of permutations. There are 3,628,800 different words that can be made.
Step-by-step explanation:
To find how many words can be made out of 'santa claus,' we can use the concept of permutations. A permutation is an arrangement of objects where the order matters. In this case, we have 10 letters in 'santa claus,' so we need to find the number of permutations of these letters.
To calculate the number of permutations, we use the formula nPr = n! / (n - r)!, where n is the total number of objects and r is the number of objects we want to arrange. In this case, n = 10 and r = 10 (since we want to arrange all the letters). Plugging these values into the formula:
10P10 = 10! / (10-10)! = 10! / 0! = 10!
Since 0! is equal to 1, we can simplify the expression:
10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3,628,800
Therefore, there are 3,628,800 different words that can be made out of 'santa claus.'