Question

using the letters in the word FABRIC, find the number of permutations that can be formed using 2 letters at a time. show your work or explain how you got your answer.

Answer 1

The number of permutations that can be formed using 2 letters at a time from the word FABRIC is 30.

Step-by-step explanation:

To find the number of permutations that can be formed using 2 letters at a time from the word FABRIC, we use the formula for permutations of n objects taken r at a time: P(n, r) = n!/(n-r)!. In this case, n = 6 (the number of letters in the word FABRIC) and r = 2 (the number of letters we want to select at a time).

Therefore, the number of permutations is P(6, 2) = 6!/(6-2)! = 6!/4! = 6×5 = 30.