The number of 3 letter arrangements of the word OILERS can be represented in the form \( { }_{n} P_{r} \) where the value of \( n \) is and the value of \( r \) is (Record your answer in the numerical-response section below.) Your answer:

To find the number of 3-letter arrangements of the word "OILERS," we first note that it consists of 6 distinct letters. The number of ways to arrange \( r \) letters from a total of \( n \) letters is given by the permutation formula \( {}_{n} P_{r} \), which calculates to \( \frac{n!}{(n-r)!} \). Here \( n = 6 \) (the letters O, I, L, E, R, S) and \( r = 3 \) (the 3 letters we want to arrange). So, the answer would be \( n = 6 \) and \( r = 3 \). Your answer: 6, 3