Mr.Torres has to travel going to his workplace during weekdays (Monday to Friday). He has three ways to travel – by train, car, or jeep. In how many ways can Mr. Torres report for work during the said days?
Question
Mr.Torres has to travel going to his workplace during weekdays (Monday to Friday). He has three ways to travel – by train, car, or jeep. In how many ways can Mr. Torres report for work during the said days?
Solution
To solve this problem, we need to use the concept of permutations in combinatorics.
Step 1: Identify the number of choices for each day. Mr. Torres has 3 choices of transportation for each day (train, car, or jeep).
Step 2: Identify the number of days. He works 5 days a week (Monday to Friday).
Step 3: Use the multiplication principle. The multiplication principle states that if there are m ways to do one thing, and n ways to do another, then there are m*n ways of doing both.
So, for each day, Mr. Torres has 3 choices of transportation. Since there are 5 days, we raise the number of choices (3) to the power of the number of days (5).
Therefore, Mr. Torres can travel to work in 3^5 = 243 different ways during the weekdays.
Similar Questions
On Monday he went by 3 vehicles for 4 hours more than they did on Wednesday and the cost of travel is 3 less than Wednesday, which has the cost of travel is 3 less than Friday.The day he went for 6 hours comes two days before the day he went for 3 hours in the week. The cost of travel on Thursday is multiple by the travelling duration on the same day.The duration for which he went on Tuesday was half of the duration for which he went on Saturday, where he went by only one vehicle
A man can do a job in 15 days. If he works for 5 days and then leaves, how many days will it take for 3 men to complete the remaining work?A) 5 daysB) 6 daysC) 7 daysD) 8 days
Answer the questions below.(If necessary, consult a list of formulas.)(a) There are 13 European cities that Tony would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)(b) A certain committee consists of 16 people. From the committee, a president, a vice-president, a secretary, and a treasurer are to be chosen. In how many ways can these 4 offices be filled? Assume that a committee member can hold at most one of these offices.
There are 15 European cities that Brian would eventually like to visit. On his next vacation, though, he only has time to visit 3 of the cities: one on Monday, one on Tuesday, and one on Wednesday. He is now trying to make a schedule of which city he'll visit on which day. How many different schedules are possible? (Assume that he will not visit a city more than once.)
A started a work and left after working for 2 days. Then B was called and he finished the work in 9 days. Had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them, working alone finish the whole work?Options2.5 days, 7.5 days5 days, 8.5 days5 days, 15 daysNone of these
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.