TS EAMCET · Maths · Permutation Combination
The number of ways in which 6 boys and 4 girls can be arranged in a row such that between any two girls there must be exactly 2 boys is
- A 6!5!
- B (72)6!
- C (144)5!
- D 4!7!
Answer & Solution
Correct Answer
(C) (144)5!
Step-by-step Solution
Detailed explanation
Arrange the 4 girls: \(4!\) ways. Arrange the 6 boys: \(6!\) ways. Total arrangements: \(4! \times 6!\) \(4! \times 6! = 24 \times (6 \times 5!)\) \(= (24 \times 6) \times 5!\) \(= 144 \times 5!\)
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