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BITSAT 2023Paper 1
Exam
BITSAT
Year
2023
Paper
Paper 1
Subject
Mathematics
Chapter
Permutation and Combination

BITSAT 2023 · Paper 1 · Mathematics · Permutation and Combination

Number of words from the letters of the words BHARAT in which B and...

Number of words from the letters of the words BHARAT in which BB and H\mathrm{H} will never come together is

Options

  1. A210
  2. B240
  3. C422
  4. D400

Correct answer

B. 240

Step-by-step solution

There are 6 letters in the word BHARAT, 2 of them are identical. Hence total number of words =6!/2!=360=6 ! / 2 !=360
Number of words in which BB and H\mathrm{H} come together
=5!2!2!=120=\frac{5 ! 2 !}{2 !}=120
final ans =360−120=240=360-120=240
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