In how many ways can we compose a word of 3 letters from the set {X, Y, Z, F, S} if repetition is allowed? (29aulo áill) O 120 O 125 O 15 O60

Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: Given letters {A,B,J,K,X,Y}   a)Number of 5-letter word with repetition is =6×6×6×6×6=7776 ways

Q: How many different 5-letter words can be made a. if the first letter must be C, Z, T, or L and no…

A:

Q: (a) How many ways can three bals of diferent colors - yellow, red, and geen - be put in a ball can?…

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: In how many ways can you place 20 identical balls into five different boxes if each boxes has to…

A: Here we have to find 20 identical balls into five different boxes so that each box contain at least…

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: How many permutations of the letters A, B, C, D, E, F, G are there in which the three letters ABC…

A: Given letters are : A, B, C, D, E, F, G. and it is given that three letters A, B and C appears…

Q: In how many different ways can four keys, not two of which are the same, be arranged on a key ring…

A: We have to find the number of ways to arranging four keys on a key ring that has no clasp. Since the…

Q: 4. How many combinations of 4 objects are there taken 2 at a time? O 12 O 24 O 6 2

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Q: How many different 7-letter words can be made a. if the first letter must be G, X, P, or L and no…

A: Concept: Since, in every case first letter shoud be G, X, P, or L.  Hence, total number of ways for…

Q: In how many ways can 7 books be arranged on a shelf if (a) any arrangement is possible, (b) 3…

A: Introduction:  Arrangement: The number of possible arrangement of different objects in different…

Q: The number of possible permutations if r objects are taken from n items is nPr =________.

A:

Q: 3. In how many ways can a committee of committee must have 3 seniors? formed from 4. A box contains…

A: Given,no.of juniors=5no.of seniors=7Total no.of peoples =12

Q: 5. How many arrangements can be made of the letters P, Q. R, S, T, taking two letters at a time if…

A: GivenThe letters are {P,Q,R,S,T}No. of letters = 5

Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

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Q: In how many ways can the letters of the word 'MARRY' be arranged? إختر أحد الخيارات 120 60 bo none…

A: The given word is “MARRY”. The number of letters in the word is 5. The number of repeating letter is…

Q: B) How many different ways can 6 red, 8 yellow, 12 black, 7 green and 10 blue of bulbs be arranged…

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Q: (a) In how many different ways can the letters of the word combine be arranged? (b) In how many…

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Q: how many different ways can the letters of the word JOYRIDE be arranged such that all letters are…

A:

Q: In how many ways can we arrange six letters of the word SWITZERLAND that starts with letter S? O…

A: Answer : - In how many ways can we arrange six letters of the word  SWITZERLAND  that starts with…

Q: 20. )A box contains 6 red balls. 7 blue balls., and 8 white balls. In how many ways can the 3 balls…

A: Determine the number of ways that the 3 balls can be chosen for a different color.   The number of…

Q: . How many ways may 5 students be seated in a row of 5 chairs for a pictorial?

A: Note: According to the guidelines only one question will be answered please upload other questions…

Q: In how many ways can three dogs, four cats, four rabbits and two pigs be arranged in a row so that…

A: Given information: Total number of dogs(D)=3. The number ways can 3 dogs arranged is 3!. Total…

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: a. If there are 8 different colors of foot balls are available in a sports shop, in how many wavs…

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Q: From among the 36 students in a class, one president, one vice-president and secretary are to be…

A: Given that

Q: 20 How many 5-permutations are there of a set of eight objects? 336 O 6,720 56 O 40

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Q: How many different 7-letter words can be made a. if the first letter must be C, X, or T and no…

A:

Q: I lost my notes for solving this sample question for an upcoming exam. Some help reviewing would be…

A: a) According to the provided information, passwords are required to have 3 letters followed by 2…

Q: Determine if each is a permutation or a combination and then evaluate. 32. How many groups of three…

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

Q: 18. How many 3-membered subsets can be chosen from {1,2,3,4,5,6} if repetitions are allowed? 84 O 56…

A: Combination is a mathematical techniques that determines the number of possible arrangements in a…

Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…

A: We have to find total number to ways to park 10 car such that 4 black cars must not be together.

Q: 12 In how many ways can a starting line up composed of 5 players be selected from a team with 14…

A: It is given that n=14 and r=5.

Q: A company has 6 officers and 5 directors (11 different people). In how many ways can a committee of…

A: We have to use , Combination formula : Combination is the selection of subjects in which order does…

Q: How many different dinners can be made by choosing one of each of five vegetables, four meats, and…

A: Apply combination

Q: A restaurant offers a special pizza with any 6 toppings. If the restaurant has 11 topping from which…

A:

Q: (a) How many 4-permutations are there of a set of six objects? (b) How many 2-permutations are there…

A:

Q: (a) How many 4-permutations are there of a set of five objects? (b) How many 2-permutations are…

A:

Q: How many strings of length 10 over the alphabet {a, b, c, d} have exactly 3 a's? O () O 47 O () - 37…

A:

Q: A restaurant offers a special pizza with any 5 toppings. If the restaurant has 10 topping from which…

A: this is a combination problemtotal number of topping=10number of topping can be chosen=5so number of…

Q: 1. Find the number of permutations of the elements in the set 1,3,5,7,9,11. 2. How many different…

A:

Q: From a group of 5 men and 4 women, 3 persons are to be selected to form a committee so that at least…

A: Determine the number of ways that at least 2 men are there on the committee. The number of ways that…

Q: How many permutations are there in the letters of the word COMMOTION if the first and last letters…

A: Given :   C 0 M M O T I O N if first and last must either be C or N , there are two ways…

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A: Given Red marbles = 8 Blue marbles = 7

Q: In how many ways can 4 t-shirts, 7 denims, and 4 coats be arranged in a clothing store shelf section…

A:

Q: How Many perMutations of the digits 0, I, 2, 3. 4, 5, 6, 7, 8, 9 are there in which the digitss…

A: The permutation represents the number of ways something can be arranged. In permutations or…

Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

Q: In how many ways can the letters of the word 'MARRY' be arranged? اختر أحد الخيارات a O 120 60 bo…

A: The correct option is b .i.e. 60 the total number of ways of arranging the word MARRY is 60 .

Q: License plates in a certain state follow the format: four letters, followed by three digits. In…

A: GivenLicense plates in a certain state has four letters followed by three digitsNo.of letters from…

Q: In how many different ways can the letters of the word “Karachi” be arranged such that the vowels…

A: From the given information, The letters of word =” Karachi” Vowels in the above letter = {a, a, i}

Q: the number of permutations of 10 distinct objects taken six at a time is 151? O a. False O b. True

A: we have to identify given statement is true or false.  the number of permutations of 10 distinct…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.