WBJEE · Maths · Permutation Combination
The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together, is
- A \(\frac{7 !}{2!2 !}\)
- B \(\frac{7!}{2!}\)
- C \(\frac{6 !}{2!}\)
- D \(5 ! \times 2!\)
Answer & Solution
Correct Answer
(C) \(\frac{6 !}{2!}\)
Step-by-step Solution
Detailed explanation
Given word is 'ARRANGE'. If R's occur together, number of letters in word = 6 To arrange R's together number of ways \(=\frac{2 !}{2 !}=1\) \(\therefore\) Number of ways to permuted 'ARRANGE' = \(\frac{6!}{2 !}\)
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