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Standard X

Mathematics

Probability

The number of...

Question

The number of $6$ letter words with or without meaning that can be made from the letters of the word $M O N D A Y$ , assuming that no letter is repeated is

120

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720

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119

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719

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Solution

The correct option is B $720$
$n$ letters at $n$ places can be arranged in $n!$ ways
$∴$ Total number of possible words that can be made from the word $M O N D A Y$
$= 6! = 720$

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Similar questions

Q. How many words, with or without meaning can be made form the letter of the word MONDAY, assuming that no letter is repeated , if

4

letters are used at a time.

Q. How many words, with or without meaning can be made form the letter of the word MONDAY, assuming that no letter is repeated , if all letters are used but first letter is a vowel?

Q. How many words, with or without meaning can be made from the letters of the word

M O N D A Y

assuming that no letter is repeated, if

(i) 4

letters are used at a time.

(i i)

All letters used at a time.

(i i i)

All letters are used but first letter is a vowel.

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
(i) 4 letters are used at a time?
(ii) all letters are used at a time?
(iii) all letters are used but first is vowel?

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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Probability

Standard X Mathematics

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The number of 6 letter words with or without meaning that can be made from the letters of the word MONDAY, assuming that no letter is repeated is

The correct option is B 720n letters at n places can be arranged in n! ways ∴ Total number of possible words that can be made from the word MONDAY =6!=720

The number of $6$ letter words with or without meaning that can be made from the letters of the word $M O N D A Y$ , assuming that no letter is repeated is

The correct option is B $720$
$n$ letters at $n$ places can be arranged in $n!$ ways
$∴$ Total number of possible words that can be made from the word $M O N D A Y$
$= 6! = 720$