10 people are seated to a 10 people spot in a row in the movies (a)...
Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated (a) with no restrictions? (b) if each couple is to sit together? (c) if all the husbands sit together to the right of all the wives?
8. Four married couples have bought 8 seats in the same row for a concert. In how many different ways can they be seated (a) with no restrictions? (b) if each couple is to sit together? (c) if all the husbands sit together to the right of all the wives?
8&9 8. Four married couples have bought 8 seats in the same row for a concert. Ia how manry different ways can they be seated (a) with no restrictions? (b) if each couple is to sit together? (c) if all the husbands sit together to the right of all the wives? 9. A machinist produces 22 items during a shift. Three of the 22 items are defective and the rest are not defective. In how many different orders can the...
1) (5pts) Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. a) How many different seating arrangements are possible? TOTAL: b) How many difet seating arangements ave thethrce men (in any order) in the three leftmost seats? TOTAL: c) Assume the theater-goers take their seats in a completely random fashion. Then each of the seating arrangements in part a) are equally likely. Find the probability that the three men end up...
How many ways can 8 people be seated around a circular table if (a)There are 4 men and 4 women, and no 2 men or 2 women can sit next to one another? (b)There are 5 men and they must sit next to each other? (c)There are 4 married couples and each couple must sit together?
Only need to answer part (ii). The correct numerical answer is = 2678400 This question is about six couples. Each couple consists of a husband and a wife. The 12 people visit a theatre, and sit in a row of 12 seats. O In how many different ways can the 12 people sit so that each husband and wife in a couple sit next to (ii) In how many different ways can the 12 people sit so that the 6...
discrete math do all please 2. Six people attend the theater together and sit in a row with exactly six seats. (a) In how many ways can they be seated together in the row? (b) Suppose one of the six is a doctor who must sit in a specific aisle seat in case she is paged. How many ways can the people be seated together in the row with the doctor in the aisle seat? (c) Suppose the six people...
6 people are to be seated in a row. How many different ways are there to arrange the people in the rows if Emily must be seated on one of the ends
4. Consider a chessboard, shown below. At starting at the square al (the lower right hand corner), you can go one step up or one step right at each move. The procedure stops until the point h8 (the upper right corner) is reached. a) How many different paths from al to h8 are possible? (b) How many differnt paths from al to h8 are possible if each path must pass through the square e4? 5. If 10 new teachers are...
discrete math 1. Suppose that three friends, all heavy smokers, each have a 50-50 chance of developing lung cancer (a) Tracking whether each of the friends develops hung cancer, write down the sample space by listing its elements. Be clear about any notation that you choose to use. (b) What is the probability that exactly one of the friends develops lung cancer? (c) What is the probability that at least two of the friends develop lung cancer? 2. Six people...