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TIFR GS 2022: Computer Science Question

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answer should b 3n as for every element whole array is traversed as we have check whether it is present or not most appropriate when.
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Permutation of 4 Gs out of 5 Gs
Given symbols:- $GGGGGAAATTTECCS$ No of ways such that exactly 4 Gs out of 5 Gs are together. I am getting$ \frac{11! × 11}{3!×3!×2!} $. Some one verify it?
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