Johan has x children by his first wife. Mary has (x+1) children by her first husband. They marry and have chil dren of their own. The whole family has 24 children. Assuming that two children of the same parents do not fight, which of the following cannot be the number of fights that can take plac…

Question

Johan has x children by his first wife. Mary has (x+1) children by her first husband. They marry and  have chil dren of their own. The whole family has 24 children. Assuming that two children of the same  parents do not fight, which of the following cannot be the number of fights that can take place between  the children. 1. 191 2. 173 3. 185 4. 201

Bhargava Konduri · Answer

Answer is d. Johan and Mary have 23 - 2x kids. Maximum value of x can be 11. Maximum Number of fights = 24C2 - xC2-( x+1)C2 -( 23-2x) C2 (every 2 kids fight)Maximum value for number of fights is 191

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