How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if.
(i) 4 letters are used at a time,
(ii) all letters are used at a time,
(iii) all letters are used but first letter is a vowel?

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How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if.
(i) 4 letters are used at a time,
(ii) all letters are used at a time,
(iii) all letters are used but first letter is a vowel?

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Text solutionVerified

Solution: (i)

.^{6} P_{4} = 6 \cdot 5 \cdot 4 \cdot 3 = 30 \cdot 12 = 360

(ii)

.^{6} P_{6} = 6! = 720

(iii)

2 .^{5} P_{5}

= 2 \cdot 5! = 2 \cdot 120 = 240

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Question Text	How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if. (i) 4 letters are used at a time, (ii) all letters are used at a time, (iii) all letters are used but first letter is a vowel?
Answer Type	Text solution:1
Upvotes	150

How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if.(i) 4 letters are used at a time,(ii) all letters are used at a time,(iii) all letters are used but first letter is a vowel?

Text solutionVerified

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How many words, with or without meaning can be made from the letters of the word MONDAY, assuming that no letter is repeated, if.
(i) 4 letters are used at a time,
(ii) all letters are used at a time,
(iii) all letters are used but first letter is a vowel?