7. In a chess competition involving some men and women, every player needs to play exactly one game with every other player. It was found that in 45 games, both the players were women and in 190 games, both players were men. What is the number of game in which one person was a man and another person was a woman? *1240180200 8. In a locality, there are ten houses in a row. One night, a thief planned to steal from three houses in the locality. In how many ways can the thief plan such that no two houses are next to each other? *5673801209. In how many ways can you group 12 people into 2 groups of 3 people and 3 groups of 2 people? *1, 663, 2002, 796, 3304, 862, 2005, 681, 030 .

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Answered: 7. In a chess competition involving…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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7. In a chess competition involving some men and women, every player needs to play exactly one game with every other player. It was found that in 45 games, both the players were women and in 190 games, both players were men. What is the number of game in which one person was a man and another person was a woman? *

180

200

8. In a locality, there are ten houses in a row. One night, a thief planned to steal from three houses in the locality. In how many ways can the thief plan such that no two houses are next to each other? *

120

9. In how many ways can you group 12 people into 2 groups of 3 people and 3 groups of 2 people? *

1, 663, 200

2, 796, 330

4, 862, 200

5, 681, 030 .

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