QUESTION 25 How many ways are there to arrange the letters in COMPETITION, in which the first T appears tomewhere belore the frstY PO 1, 2) P(7. 2, 1,1,1,1, 1) O P(10, 2, 2.1, 1, 1, 1,1, 1) P(4 2, 2) 71/2 O P(11, 2.22. 1,1, 1,1, 1)/4 O other
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A: the value of the following permutationP(8,2)
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- sen? 2. A poker hand consists of 5 cards chosen at random from a standard deck of cards. How many poker hands containing all face cards are possible? 3. Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many ways can the following compositions be selected? a. 5 people regardless of gender b. 3 females and 2 males c. at least 3 females d. 4 females and 1 male e. 5 females 4. In a game of poker, a full house is a combination of 5 cards chosen from a standard deck of cards with three of a kind and two of a kind. How many full houses are possible?1. Factorial You might want to do these by hand just to get a feel for factorials? 1. You have 7 patients today, how many different ways could you order their scheduling (e.g. a,b,c,d,e,f,g or g,a,b,c,d,e,f or ... .)? 2. You need to clean 5 teeth on a patient one at a time, how many different ways could you order the cleaning of the 5 teeth. 3. There are 15 people in this class. How many ways could we arrange them in a line? 4. What is 30!? (please use scientific notation and 2 significant digits e.g. 3.1 x 1023) (remember in Excel 1.23E+20 means 1.23 x 1020)Question 11 of 20 There are 17 players on a Calvinball team. At the start of the game, the 13 players on the field must be arranged in the form of a orde in how many dfteent wan can it be decided which 13 players will be on the field and in what order they will be at the start of the game? 17! 4 x 13! OB 17! - 4! O D. 12! 17! E. 13 x 4!
- 3.92 There are 15 girls and 16 boys in a class. A delegation of four has to be selected from among the students of this class. In how many ways can this be done so that the delegation includes:(a) only two girlsb) at least two girlsc) at most two girls?4.66 What are the outcomes of the following R commands? a. pbeta(0.6,1,1)-punif(1,0,2) b. pgamma(2,1,2)-pexp(2,2) c. pnorm(1,1,4)+qunif(0.6,1,2) d. qbinom(0.5,12,0.5)Given S = { – 2, 5.289, 2, e, 5, -8.5928...., 8, 2. |3D The subset consisting of all Natural numbers in S = %3D O {5, 8, 9, -8.5928....,} O {2,5, 8, e} O {2,5,8,9} O {5,8,9, 2.1529....,} О 2,5, п, 9}
- F 20D-Gilreath - Introductory Statistics est K Question 4 of 19 > Suppose 61 cars start at a car race. In how many ways can the top 3 cars finish the race? The number of different top three finishes possible for this race of 61 cars is. (Use integers for any number in the expression.) ... This t This cQuestion 1/2
- Amidde school Counnelor atenpting to comelato school pertormance with lelsure interesta found that ofe group of studerts, 35 had seen Movie A, 29 had seen Movie 2 had seen Mirde C, 16 had sn Movies And E 13 had seen MoviesA and C 11 had seen Movies Bi and C 4 had seen al three fis, and S had seen none of the tee fam. Use a Venn dagram to complete parta (aheugh bol Complete the Venn diagram LeAbe the set of students tat s Movin A B be the set of stuterts that saw Movie and Cbe the set of studants that sae Movie CQuestion 5 Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? A. 24400 B. 21300 C. 210 D. 25200 Question 6 A coin is tossed 3 times. Find out the number of possible outcomes. A. None of these B. 8 C. 2 D. 1 Question 7 In how many ways can the letters of the word 'LEADER' be arranged? A. None of these B. 120 C. 360 D. 720 Question 8 An event manager has ten patterns of chairs and eight patterns of tables. In how many ways can he make a pair of table and chair? A. 100 B. 80 C. 110 D. 64 Question 9A question paper has two parts P and Q, each containing 10 questions. If a student needs to choose 8 from part P and 4 from part Q, in how many ways can he do that? A. None of these B. 6020 C. 1200 D. 9450 Question 10 There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is…A six sided die is labeled from 1 to 6, and painted different colors. The sides 3, 4, and 5 are blue, and the sides 1, 2, and 6 are red. How do we interpret this notation: P(roll an even number | roll a red side) Group of answer choices We know an even number has been rolled, and we want the chance that it's red We know a red side has been rolled, and we want the chance that it's even We want the chance that the roll is both even and red