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How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if all letters are used but first is vowel.

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प्रश्न

How many words (with or without dictionary meaning) can be made from the letters in the word MONDAY, assuming that no letter is repeated, if all letters are used but first is vowel.

संक्षेप में उत्तर
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उत्तर

A or O has to be placed in the first position. This can happen in two ways.

Remaining 5 places 5! = can be filled in 120 ways.

Number of words which start with vowel = 2 x 120 = 240.

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Factorial N (N!) Permutations and Combinations
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अध्याय 16: Permutations - Exercise 16.4 [पृष्ठ ३७]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 16 Permutations
Exercise 16.4 | Q 11.3 | पृष्ठ ३७
एनसीईआरटी Mathematics [English] Class 11
अध्याय 6 Permutations and Combinations
EXERCISE 6.3 | Q 9. (iii) | पृष्ठ ११४

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