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Question
How many strings can be formed using the letters of the word LOTUS if the word neither starts with L nor ends with S?
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Solution
Neither starts with L nor ends with S
Total number of words formed using the letters L, O, T, U, S is = 5 × 4 × 3 × 2 × 1 = 120
The number of words neither starts with L nor ends with S =
Total number of words – Number of words starts with either L or ends with S
= 120 – 42
= 78
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