A) \[\left( _{4}^{8} \right)-{{\,}^{8}}{{P}_{4}}\]
B) \[{{8}^{4}}+\left( _{4}^{8} \right)\]
C) \[{{8}^{4}}-{{\,}^{8}}{{P}_{4}}\]
D) \[{{8}^{4}}-\left( _{4}^{8} \right)\]
Correct Answer: C
Solution :
Total number of words formed by 4 letters given from eight different letters with repetition \[={{8}^{4}}\] and number of words with/no repetition \[={{\,}^{8}}P{{ & }_{4}}\] \[\therefore \]Required number of words \[={{8}^{4}}-{{\,}^{8}}{{P}_{4}}\]
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