In how many ways can you rearrange the letters A, B, C, D, E?

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Answer 1 · 2018-07-20T01:57:53

#color(chocolate)(5! = 1 * 2 * 3 * 4 * 5 = 120 " ways"#

![http://www.statisticslectures.com/topics/permutations/]( useruploads.socratic.org )

#"Formula for permutation " nPr = (n! )/ ((n-r)!)#

#"Given " n = 5, (A, B, C, D, E) " " & " " r = 5, (A, B, C, D, E)#

#:. nPr = nPn = (n!) / ((n - n)! )= (n!) / 1 = 5! #

![https://www.thoughtco.com/why-does-zero-factorial-equal-one-3126598]( useruploads.socratic.org )

![https://in.answers.yahoo.com/question/index?qid=20130723054015AAgl5E1]( useruploads.socratic.org )

#color(chocolate)(5! = 1 * 2 * 3 * 4 * 5 = 120 " ways"#

Answer 2 · 2018-07-22T12:13:51

#120#

The total number of linear arrangements obtained from #n=5# different letters #A, B, C, D, E# is given as

#\ ^nP_n#

#=\ ^5P_5#

#=5!#

#=5\times 4\times 3\times 2\times 1#

#=120#