Discussion
How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?
Answer: C
LOGARITHMS has ten letters, all different, and a word is an ordered arrangement.
\[ {}^{10}P_{4} = 10 \times 9 \times 8 \times 7 = 5040 \]
The corresponding combination \( {}^{10}C_{4} = 210 \) would count only which four letters are used, ignoring their order.
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