MHT CET 2025 Mathematics question
A family consisting of a mother, father and their 8 children (4 boys and 4 girls) are to be seated at a round table in a party. How many ways can this be done if the mother and father sit together and the males and females alternate?
Answer: (D)
Solution
Males: father + 4 boys = 5; females: mother + 4 girls = 5. Treat the mother-father pair as a block and fix the block's position at the round table (this removes the rotational symmetry). With the order (mother, father) clockwise, the remaining 8 seats must alternate starting with a female (the seat after the father, a
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