Homework Help

What is P(8, 5) and how is it different from 8^5.

user profile pic

tonys538 | Student, Undergraduate | Salutatorian

Posted September 19, 2013 at 6:47 PM via web

dislike 0 like

What is P(8, 5) and how is it different from 8^5.

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 19, 2013 at 6:52 PM (Answer #1)

dislike 1 like

P(8, 5) is the number of permutations of 5 elements drawn from a set containing 8 elements. Here, repetition is not allowed, each of the letters chosen is unique and it is only used once in a permutation.

8^5 is the number of ways of arranging 5 elements from a set of 8 elements where there is no restriction on the number of times each element can be used. As there are 8 different elements to choose from, each of the 5 elements chosen can take on 8 different values.

P(8, 5) = 6720 while 8^5 = 32768

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes