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In how many different ways can the letters of "SUNDAY" be arranged?
How many of these arrangements begin with an "S"?
How many begin with "S" but do not end with a vowel?

 Feb 28, 2020
 #1
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Arrangements  =   6!   =  720

 

Arrangements  beginning  with "S"  =   5!  =  120      (1)

 

Arrangements  starting  with "S"  and  ending  in a  vowel  =

 

S   _  _  _  _  A  =    4!  =   24

S   _  _  _  _  U =     4!  =   24

                                       ____

                                         48      (2)

 

So  arangements  starting with "S"  and not ending  in a vowel  =  (1) - (2)  = 120  - 48  =  72

 

 

 

cool cool cool

 Feb 28, 2020

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