Respuesta :
a) 216 three-letter "words" can be made from 6 letters FGHIJK'' if repetition of letters is allowed
b) 120 three-letter "words" can be made from 6 letters FGHIJK'' if repetition of letters is not allowed
The given word is FGHIJK
The number of letters in FGHIJK = 6
The number of three letter words that can be formed from 6 letters FGHIJK if repetition is allowed is calculated as shown below
If repetition is allowed
Number of three-letter "words" can be made from 6 letters FGHIJK = [tex]6^3[/tex]
Number of three-letter "words" can be made from 6 letters FGHIJK = 6x6x6
Number of three-letter "words" can be made from 6 letters FGHIJK = 216
216 three-letter "words" can be made from 6 letters FGHIJK'' if repetition of letters is allowed
The number of three letter words that can be formed from 6 letters FGHIJK if repetition is not allowed is calculated as shown below
If repetition is not allowed
Number of three-letter "words" can be made from 6 letters FGHIJK = 6P3
Number of three-letter "words" can be made from 6 letters FGHIJK =[tex]\frac{6!}{(6-3)!}[/tex]
Number of three-letter "words" can be made from 6 letters FGHIJK =[tex]\frac{6!}{3!}[/tex]
Number of three-letter "words" can be made from 6 letters FGHIJK =[tex]6\times 5 \times 4[/tex]
Number of three-letter "words" can be made from 6 letters FGHIJK = 120
120 three-letter "words" can be made from 6 letters FGHIJK'' if repetition of letters is not allowed
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