3. Describe the to Example: 4, 8, 12, 16, 20 ... Adding 4 to the previous pattern. a. 2, 5, 8, 11 ... b. 11, 20, 29,5

Q: Here are some patterns made from sticks. 8 8 Pattern 1 Pattern 2 a) Complete this table. Pattern…

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Q: Given S={9,10,11,12,13,14,15,16,17}, A={5,6,7,8,9}, B={4,5,6,7,8}. Find A ∪ B , A ∩ B and A − B ,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: List all the combinations of 6 objects 1, 2, 3, 4, 5, and 6 taken 3 at a time. What is C(6, 3)?

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Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The given sets are as follows. A=Dirk,Johan,Frans,SarieB=Frans,Sarie,Tina,Klaas,HenrikaC=Hans,Frans…

Q: he word "Knickknack" if "nack" goes together in a

A: Given: Total number of letters = 10  Number of letters to be together = 4 Number of 'k' apart from…

Q: List all the combinations of 5 objects a, b, c, d, and e taken 2 at a time. What is C(5, 2)?

A: The number of arrangements of n objects using r≤n of them, in which         1) the n objects are…

Q: How many ways can you arrange the letters from the word following words? a. CODES b. CABLES c. FISH…

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Q: What is the Mode for the following numbers: 8, 9, 8, 9, 13, 12, 9, 7, 7

A: Given information- We have given the following numbers- 8, 9, 8, 9, 13, 12, 9, 7, 7 We have to find…

Q: nctions? ) {(b,1),(b,2),(b,3)} ) {(a,2),(b,2), (c,2)} e) {(1,1),(1,2),(2,3)}

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Q: Determine the number of ways of arranging the letters in the word handle if a) there are no…

A: The letters of the word handle, {h,a,n,d,l,e} Each letter is unique. a. Number of letters in the…

Q: Find the number of ways of arranging the letters of the word ORANGES if: a) the vowels O, A, E…

A: Here use concept of total arrangement

Q: Given , U={0, 1, 2, 3, ..., 10}, A={0, 3, 6, 9}, B={0, 2, 4, 6, 8, 10}, C={0, 4, 8} use the roster…

A: a) For intersection, we take the common elements.

Q: Find the mode of the following number of stingrays spotted by each person during a snorkeling trip.…

A: Given data values: 11,5,7,5,11,1,7,4,1,7,7 The value 11 is repeated 2 times. The value 5 is repeated…

Q: List all the combinations of four objects m, I, n, and k taken two at a time What is C,? List all…

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Q: p – c, when p = –3 and c = –8

A: Given: p = -3 c = -8   To find: p-c

Q: EVALUATE THE FF: C(5,5) C(9,8) P(10,2) / C(10,2) P(100,1) - C(100,1)

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Q: Given Мean 3, 4, 9, 11, 5 7, 11, 10, 13, 5, 6 13, 3, 6, 8, 12, 9, 5 15, 11, 16, 15, 18, 20, 20 21,…

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Q: 7. Compare the number of different arrangements you can make using all the letters in the words RED…

A: RED DEER contains 7 letters in which letters D and R repeat 2 times and E repeat 3 times.…

Q: 8) Find the number of ways 12 ducks can be divided into a) 2 groups of 8 ducks and 4 ducks b) 3…

A: we have to find no. Of ways fora and b..

Q: c) Determine the number of different arrangements that can be formed from the word MATHEMATICIAN.

A: Solution

Q: ne people on a basketball team show up for a game a) How many ways are there to choose 5 players to…

A: We solve the problem by permutation and combination concept.

Q: For how many n Ee {1,2, ..., 550} is n a multiple of one or more of 9, 4, or 7?

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Q: . evaluate perm(5,3)= b. evaluate perm(22,6)= c. evaluate comb(5,3)=

A: a. evaluate perm(5,3)=? b. evaluate perm(22,6)=? c. evaluate comb(5,3)=?

Q: 2. How many ways are there to order the letters L,A,K.E,S?

A: Given, The letters L,A,K,E,S  We have to find how many ways are there to order the letters.

Q: Given the set A = {a, b, c, d, e, f, g, h}, how many distinct sequences of 4 letters can be made if…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: A music school wants to expand its class schedule. To better understand the current schedule, the…

A: No. of Instrument that are not taught on Monday : 3 instruments   Count those instrument which are…

Q: Let S = {1,2,3, 4, 5, 6, 7, 8, 9, 10, 11, 12} a. How many subsets are there total? %3D b. How many…

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Q: How many terms are in A.P. 7, 10, 13,...43?

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Q: Find the mode(s), if any, of the following numbers. 606, 355, 374, 606, 374, 740, 444, 444, 606,…

A: Q.1 Ans: Given data: We find Mode=?

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: We want to find number of elements in A∪B.

Q: How many distinguishable ways can the letters of BABY be arranged in order? Group of answer choices…

A: Given How many distinguishable ways can the letters of BABY be arranged in order

Q: What is the Mode for the following numbers: 7, 7, 10, 13, 7, 9, 7, 13, 11

A: Mode is defined as the frequent number in a given data set.

Q: Which of the following elements would NOT be an element of {4, 8, 12, . . . } 28? 30? 32? or…

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Q: In how many ways can the letters of the word 'LEADER' be arranged? (A) 5! / 2! (B C(6,2) x 4! P(6,5)…

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Q: Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Drama,…

A: Given: A = {Drama, Physics, French, History}, B = {Psychology, Chemistry, Math, French, History}…

Q: 2. They notice that the Armak Jeepney is for registration. The two sisters know that a vehicle…

A: The license plate consists of 3 letters followed by three digits. There are 26 letters (a-z) and 10…

Q: 1. Find the next item in the pattern. 1, 2, 3, 5, 8, 13, . .

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Q: Write P if the given situations are describing Permutation and C, if tells about Combination.…

A: It is needed to choose whether the statements exhibit permutation or combination.

Q: 4. Suppose you have 12 masks (three green, three purple, three yellow, and three orange) to…

A: Solution: Given information; Total masks=  3 green + 3 purple + 3 yellow + 3 orange n= 12

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: The given sets are as follows. A=Dirk,Johan,Frans,SarieB=Frans,Sarie,Tina,Klaas,HenrikaC=Hans,Frans…

Q: A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3 different…

A: We have to find number of different possibile outcomes.

Q: Which phrase (if any) states the condition in this statement: How many different arrangements of…

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Q: Differentiate the following: ? = 5 − 4? − 3? ^4

A: Solution is given below:

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}.…

A: From the given information we need to show work for the given problem.

Q: A class has 35 students. In how many different ways can five students form a group for an​ activity?…

A: It is given that N is 35 and r is 5.

Q: so which one is it 1, 2, 3, or 4?

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Q: class has 28 students. In how many different ways can five students form a group for an​ activity?…

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Q: Given: A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 5, 6}, and C = {1, 6, 7}. Find: B' nC' =

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Q: (3) Decide if the following statement is true or false (a) {2, 4, 6} c {6, 2, 4} (b) {2, 4} c {2, 4,…

A: We have to find out the statement conditions

Q: Evaluate the following  20/5+5+2•8

A: Given,