Question

The Letters of the word star are written on individual cards. If you always choose three cards and then put them back before the next set of three card how many different permutations will you have? List all the different permutations.

Answer 1

There are 24 different permutations possible. These are listed

Given,

The Letters of the word star are written on individual cards.

To find,

If you always choose three cards and then put them back before the next set of three card how many different permutations will you have? List all the different permutations.

Solution,

There are 4! = 4x3x2x1 = 24 permutations of the letters.

Of those 24 permutations, the only ones which are English words are:

arts, rats, star, tars, tsar

The permutations are as follows:

STAR TSAR ASTR RSAT

STRA TSRA ASRT RSTA

SATR TASR ARTS RTAS

SART TARS ARST RTSA

SRAT TRAS ATRS RATS

SRTA TRSA ATSR RAST

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