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Standard XII

Mathematics

Permutation under Restriction

The number of...

Question

The number of words formed with the letter of the word JODHPUR in which P, U, R never come together is?

720

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5040

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4320

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None of these

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Solution

The correct option is C None of these
Solution:
Total number of words is $7$
PUR never come together $4! 3!$
PUR never come together $7! - 4! 3!$
$= 5040 - 24 \times 6$
$= 5040 - 144$
$= 4896$
Answer D

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The number of words formed with the letter of the word JODHPUR in which P, U, R never come together is?

The correct option is C None of these
Solution:
Total number of words is $7$
PUR never come together $4! 3!$
PUR never come together $7! - 4! 3!$
$= 5040 - 24 \times 6$
$= 5040 - 144$
$= 4896$
Answer D

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The number of words formed with the letter of the word JODHPUR in which P, U, R never come together is?

The correct option is C None of theseSolution: Total number of words is 7 PUR never come together 4!3! PUR never come together 7!−4!3! =5040−24×6 =5040−144 =4896Answer D

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The correct option is C None of these
Solution:
Total number of words is $7$
PUR never come together $4! 3!$
PUR never come together $7! - 4! 3!$
$= 5040 - 24 \times 6$
$= 5040 - 144$
$= 4896$
Answer D