a) There are no conditions. b) There must be exactly 3 women. There must be exactly 4 men.
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HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS , PLZ REPOST FOR REMIANING PARTS WITH NOTE I NEED THIS THIS...
Here given ,
There are total 10 people available for making committee of 5 member.
There are 6 women and 4 men .
Here we will use counting Principle for counting the number of committee.
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- You can choose from 25 flavours of ice cream and have enough money to get exactly 3 scoops. How many different ice cream cones can you make if: a) The order of the scoops are important, but you are not allowed more than one of each flavour? b) The order of the scoops are not important and you are allowed multiple scoops of the same flavour? /re about o.. There are many houses on Warp Drive in Kirk, Missouri. Ninety houses have cable TV. Fifty-two houses have a pool. Sixty-eight are one-story houses. There are 49 houses that have a pool and cable TV. There are 43 one-story houses with pools. There are 57 one-tory houses with cable TV. There are 42 one-story houses with cable TV and a pool And there are 4 houses that are not one-story and do not have a pool or able TV. a. How many houses are on Warp Drive! b. How many houses don't have a pool c. How many houses have cable TV but are not one-story! d. How many one-story houses have cable TV but no pool e. How many houses have a pool but don't have cable TVand are not one-story!A new-custom made sweater is made by choosing the color, the material, whether or not the sweater will have a crew or v-neck, and whether or not the sweater will have decorations. If there are 7 colors available and 3 types of materials, how many different sweaters are possible? 35
- Help with a and b.A drawer contains 10 red socks, 10 blue socks, and 10 green socks. What is the minimum number of socks you need to take out of the drawer in order to guarantee you have at least 5 socks of the same color? Enter your answer as an integer (i.e., do not use words):From a group of 7 men and 6 women, five person are to be selected to form a committee so that at leases 3 men at there on the committee. In how many ways can it be done?
- a class consists of 37 freshmen, 54 sophomores, and 22 juniors. The class wantsto send a nine-person delegation to the university sentate a) if the delegation has to consist of 2 freshman 3 sophomore, and 4 juniors, how many different delegation are possible? b) If the nine-person delegation is chosen without regard to class standing, how many delegations are possible?Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E. a) How many ways can this be done, if the order of the choices is relevant? b) How many ways can this be done, if the order of the choices is not relevant?a).A food-processing firm has 8 brands of seasoning agents from which it wishes to prepare a gift package containing 5 seasoning agents. How many combinations of seasoning agents are available? b). A sales person has 9 products to display in a trade fair but he can display only 4 at a time, how many displays can he make if the order in which he displays is important? c).A radio repairer notes that the time he spends on his job has an exponential distribution with a mean of 4 minutes. He follows the first come first serve principle. The arrival time of clients takes a Poisson distribution with an average rate of 8 clients every 1 hour. i.Determine the arrival rate value and service rate value to be used ii) How long will it take the client waiting in the queue iii). Determine the client’s average waiting time in the system iv).Compute the probability that the system is idle; P (idle)
- A president and a treasurer are to be chosen from a student club consisting of 75 people. How many different choices of officers are possible if: a. There are no restrictions b. A will serve only if he is president c. B and C will serve together or not at all2. If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? Write your response below:Among the eight nominees for two vacancies on a school board are four men and four women. How many ways can the vacancies be filled a) With any two of the eight nominees? b)With any two of the female nominees? c) With any one of the male nominees and one of the female nominees?