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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. - Mathematics

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Question

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.

Answer in Brief
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Solution

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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Chapter 16: Permutations - Exercise 16.4 [Page 37]

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RD Sharma Mathematics [English] Class 11
Chapter 16 Permutations
Exercise 16.4 | Q 11.3 | Page 37
NCERT Mathematics [English] Class 11
Chapter 6 Permutations and Combinations
EXERCISE 6.3 | Q 9. (iii) | Page 114

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