Respuesta :
Answer:
343
Step-by-step explanation:
How many three-letter ”words” can be made from 7 letters FGHIJKL” if repetition of letters (a) is allowed? (b) is not allowed? Solution: (a) If repetition is allowed each letter can be any of the 7. So number ways is 7 × 7 × 7=73 = 343
Answer: See below
Step-by-step explanation:
Given:
The letters FGHIJKL
To find:
The number of three letter words can be formed if repetition is allowed (or) if repetition is not allowed
[tex]$(a) If repetition is allowed:Total no of three letter words can be made$=7_{C 1} x 7_{C 1} x 7_{C 1}=7^{3}=343$(b) If repetitions is not allowed :Total no of three letter words can be made without repetition is $\begin{gathered}=7_{C 1} \times 6_{C 1} \times 5_{C 1} \\=7 x 6 \times 5=210\end{gathered}$[/tex]