please answer 7,8 and 9 PROBLEM SET # 8Direction: Read and analyze the following problems on counting principle,combinations, and permutations and solve as indicated. Solutions arenecessary.1. In how many ways can students in a college be classified according to year (1st to4th) if there are 10 major courses?2. In how many ways can vehicles be classified if there are 5 different colors, 4 typesof tires and 3 shades of tint for the windows? from a group of 6 men and 5 ladies?4. How many committees of 4 men can be formed from a group of 10 me13 boys and 11 girls?0. in how many ways can 3 men be selected from 10 men if one of them is alwaysincluded in every selection?7. How many permutations can be made from the letters in the wordsa) MATHEMATICS; andb) STATISTICS?8. Ten people are to sit at a round table. Find the number of seating arrangements ifthe host and the hostess must always sit together.9. In how many ways can 4 boys and 4 girls be seated at a round table if each girl is tosit between two boys?5. many of 5 boys and 4 girls can be from a of

Name: please answer 7,8 and 9 PROBLEM SET # 8Direction: Read and analyze the
Uploaded: 2024-03-20T06:46:03.000Z
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Description: please answer 7,8 and 9 PROBLEM SET # 8Direction: Read and analyze the following problems on counting principle,combinations, and permutations and solve as indicated. Solutions arenecessary.1. In how many ways can students in a college be classified