Anonymous

# How would I list all permutations of five objects a,b,c,d, and e taken three at a time without replacement?

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- Anonymous8 years agoBest Answer
I'd suggest trying to list them in alphabetical order. There are 60 possibilities, as shown below.

Personally, I used an Excel macro and some filtering and sorting

abc

abd

abe

acb

acd

ace

adb

adc

ade

aeb

aec

aed

bac

bad

bae

bca

bcd

bce

bda

bdc

bde

bea

bec

bed

cab

cad

cae

cba

cbd

cbe

cda

cdb

cde

cea

ceb

ced

dab

dac

dae

dba

dbc

dbe

dca

dcb

dce

dea

deb

dec

eab

eac

ead

eba

ebc

ebd

eca

ecb

ecd

eda

edb

edc

- 8 years ago
There are five objects a,b,c,d,e

Three are taken at a time.

Number of permutations = n! / (n-r)!................[ without any repetitions]

= 5! / (5-3)!

= 5! / 2!

= 5 x 4 x 3 x 2 x 1 / 2 x 1

= 60

HOpe this helped.

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