4. Factorials-Permutations-Combinations (SHOW WORK) a) In how many ways can a person invite three of her eight closest friends to a party? b) Determine the number of different arrangements of TWO of the FIVE vowels: a, e i, o, and u. List them all.

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: Farmer Brown owns five horses and six mules. He takes them into the barn where there are five stalls…

A: Given that, Farmer Brown owns five horses and six mules. He takes them into the barn where there are…

Q: Arrangement L Arrangement M -- ■ 0:0 1 table Draw the diagram for 4 tables using arrangement L 2…

A: Solution:According to the given data, draw the diagram for 4 tables using arrangement L.

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: Givenno.of paintings=4no.of vases=5Total no.of donations=9

Q: In how many ways can the letters N, U, M, B, E, R, S be arranged in a row? in a circle?

A:

Q: In how many ways can a baseball coach prepare a batting order if: The coach still has to select the…

A: From the provided information, Total players = 12

Q: There are 6 horses in a race. In how many ways can the first three positions of the order of the…

A: Given that  Total number of horses in a race is 6

Q: 00 country song NR6) If all of the letters in the word PENCILS are used, the number of arrangements…

A: Given ,  If all of the letters of PENCILS are used, the number of arrangement with all of the…

Q: different proble In a Communication class of 10 students, a professor plans to pick 2 students to…

A:

Q: A large number of three letter words in English follow the pattern consonant- vowel -consonant in…

A: 2 consonants out of 17 can be selected in P(17,2)=272 ways.

Q: How many Combinations 3-letter Possible from letters A, E, I, O, and 4?

A: Here the given letters are ,      A,E,I,O,U  So, total number of letters , n=5 Using formula ,…

Q: In how many ways can a president, vice president, secretary, and a treasurer b selected from club…

A:

Q: 8 children, called Felix, Lana, Adam, Shaa, Fred, John, Eric and Aral are playing a game where they…

A: Part (a) The letters that are available to make words are 2F,L,2A,S,J,E. Given that, the six letter…

Q: A pet store surveyed 178 people to see how many own a bird and how many own a cat. The Venn diagram…

A: Given data, No of bird owners =37 No of cat owners=28 Bird & cat owners =39 No bird or cat…

Q: Cal's Results: 2. Another frog, Cal, lands in the same place with the two different sequences of…

A: Explanation of the answer is as follows

Q: ✅✅❎♦️♦️♦️♦️

A: To find the number of ways to select a sample of 7 cellphones from a shipment of 23, you can use the…

Q: Find the distinguishable permutation of the word ANDREAMEZA. 3,628,800 B. 362,880…

A:

Q: From the 8 male and 9 female sales representatives for an insurance company, a team of 2 men and 3…

A: There are 8 men and 9 women representative for an insurance company, and we have to select 2 men and…

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: Alphanumeric Pattern W, U, R, N, I, Z, V, R, N, J, H, K, N, Q, T, *

A: To determine the next elements in the given series.,

Q: A class has 30 students. In how many different ways can four students form a group for an activity (…

A: Determine the number of ways in which four student’s forma group for an activity. The number of ways…

Q: A Las Vegas couple is remodeling their home. They would like to paint the interior of their home…

A: Total color available  in shop =13 i.e total outcome=13 We know that Crn=n!r!n-r! Also…

Q: An insurance agent has a list of 9 prospects and decides to telephone 5 how many different ways can…

A: THERE ARE TOTAL 9 PROSPECTS AND ON THE 1ST DAY WE NEED TO CALL THE 5 PROSPECTS THEREFORE TOTAL WAYS…

Q: Find the number of permutations using 4 different letters a, b, c, and d, if they are taken 2 at a…

A:

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: How many choices are there for a person to check out 4 CDs from a library that has 20 CDs of his…

A: Given : n = 20 x = 4

Q: There are 10 candidates for a job. a. How many ways can we pick 2 of the candidates for the same…

A:

Q: in how many ways could members of the following club lineup all seven members for a photograph? N=…

A:

Q: s={1,2,3,4,....,15} ​A: The selected number is even. ​B: The selected number is a multiple of 4.…

A: The possible outcomes for event A are {2,4,6,8,10,12,14} i.e 7 outcomes The possible outcomes for…

Q: How many distinct arrangements are possible using the letters of the word POSSIBILITY?

A: Important keys :  When given a number of objects and we would to find the possible different…

Q: An English class consists of 24 students, and five are to be chosen to give speeches in a school…

A:

Q: How many different ways are there to choose a dozen donuts from the 21 varieties at a donut shop

A: The given information is that there are 21 varieties of donuts at a donut shop, and we want to…