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How many strings can be formed using the letters of the word LOTUS if the word neither starts with L nor ends with S? - Mathematics

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प्रश्न

How many strings can be formed using the letters of the word LOTUS if the word neither starts with L nor ends with S?

योग

उत्तर

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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अध्याय 4: Combinatorics and Mathematical Induction - Exercise 4.1 [पृष्ठ १६६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 12. (ii) | पृष्ठ १६६

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