PROBLEM SET # 8 Direction: Read and analyze the following problems on counting principle, combinations, and permutations and solve as indicated. Solutions are necessary. 1. In how many ways can...

please answer 5 and 6

Extracted text: PROBLEM SET # 8 Direction: Read and analyze the following problems on counting principle, combinations, and permutations and solve as indicated. Solutions are necessary. 1. In how many ways can students in a college be classified according to year (1st to 4th) if there are 10 major courses? 2. In how many ways can vehicles be classified if there are 5 different colors, 4 types of tires and 3 shades of tint for the windows?


Extracted text: from a group of 6 men and 5 ladies? 4. How many committees of 4 men can be formed from a group of 10 me 13 boys and 11 girls? 0. in how many ways can 3 men be selected from 10 men if one of them is always included in every selection? 7. How many permutations can be made from the letters in the words a) MATHEMATICS; and b) STATISTICS? 8. Ten people are to sit at a round table. Find the number of seating arrangements if the 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 to sit between two boys? 5. many of 5 boys and 4 girls can be from a of