The Number of Words from the Letters of the Word 'Bharat' in Which B and H Will Never Come Together, is 360,240,120,None of These. - Mathematics

MCQ

The number of words from the letters of the word 'BHARAT' in which B and H will never come together, is

Options

• 360

• 240

• 120

• none of these.

Solution

240
Total number of words that can be formed of the letters of the word BHARAT =$\frac{6!}{2!}$= 360

Number of words in which the letters B and H are always together  = $2 \times$$\frac{5!}{2!}$= 120

∴ Number of words in which the letters B and H are never together = 360 - 120 = 240

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Q 6 | Page 46