-)) In how many days does 7 masters paint the wall painted by 5 masters in 14 days

Q: 22] calculate the number of combination and permutation of, 5 distinct objects taken 2 at time?

A:

Q: Assume that the users connect to a computer using terminals that are polled by the computer in a…

A: Given that the users connect to a computer using terminals that are polled by the computer in a…

Q: Show that = n. mnZ

A: mZ = set of all integers which are divisible by m mnZ = set of all integers which are divisible by…

Q: 2show that O (ir Yational numbers iihot hegigitale

A:

Q: 2. Civil Engineers at a large convention are offered 6 construction tours on each of 3 days. In how…

A: Given : Number of tours = 6 Number of days = 3

Q: 10. Show that if ACB, then rank(A) € rank (B).

A: Please find the answer in next step

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A: EVEN NUMBERS : Even numbers embrace people who conclude in zero,2,4,6, and 8. Even numbers, as an…

Q: theorem Every Ving Can be imbeobling în aving with

A:

Q: In how many different ways can 7 bicycles be parked if there are 5 available parking spaces? 2.…

A:

Q: (a) How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible…

A: As we want our 3-digit number to be divisible by 5, the number 5 will be fixed on the unit's place…

Q: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

A: Assume that there are 10 girls and 12 boys in the neighborhood club, and a team of 7 is to be…

Q: How many strings of four decimal digits a) do not contain the same digit twice? b) end with an even…

A:

Q: 5. Is it possible to plant 10 trees in 10 straight rows, with 3 trees in each row? Hint: Desargues…

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Q: 1. Determine whether the vectes (,2,3), (3,3,1), 3,1,2) in R?. indefendnt are

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Q: Assume that product codes are formed from the letters Q, X, W, T, S, Z, and Y, and consist of 6 not…

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A: Use the principle of inclusion and exclusion to solve this problem, as in next step.

Q: (6) +() + (^) = 2" is it ? 4---+ wh is that?

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Q: In how many distinct ways can the digits in the number 1,238,229,168 be arranged?

A: We have to find in how many ways the number  1,238,229,168 can be arranged.

Q: ist of at least one woman is

A:

Q: Suppose there were 500 nurses graduating this year. Assume that 400 were registered nurses (RN), and…

A: Let RN be the registered nurses, and H be the nurses who plan to work in hospital. From the…

Q: 5, In

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Q: Assume that you are assigning one of 12 available lockers to each of the 8 players on the team. In…

A:

Q: 5. To en

A: Probability Sampling: A sampling which is done based on the probability associated with each…

Q: 2.24 Students at a private liberal arts college are clas- sified as being freshmen, sophomores,…

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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: How many 5-digit numbers can be formed using the numbers 0, 1, 2, ….9, such that: Repetition is…

A: There are 10 digit available from 0 to 9. To construct a 5 digit number , the first digit always…

Q: A. How many 3-digit numbers can be formed from the set of decimal digits if the numbers formed are…

A: Answer is given below:

Q: 1. Show that for n, mEZ", mEZ*, ged (2^-1,2m-)= 2 ged(n, m)_I

A: Suppose, in general, if p=gcdn,m then p=nx+my for some integers x, y Now if d=gcd2n-1,2m-1 then…

Q: Twelve teachers are to be assigned to three schools. In how many ways can this be done if: i. a…

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Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: Consider 4 digit numbers with each digit from the set {1,2,3,4,5,6,7,8,9} a) How many such numbers…

A: Solution

Q: How many words can be formed by permutation of the letters of the word DEPRESSION such that each…

A: Given word DEPRESSION We have to calculate No. Of words such that obtained word does not contain 2…

Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

A: Given number 1,243,520,326 Total number of digits=10 Number of 1's=1 Number of 2's=3 Number of 3's=2…

Q: How many times would you expect to roll a fair die before all 6 sides appeared at least once? (Hint:…

A: Consider Yi be the number of additional rolls required for a new side to appear until i-th side have…

Q: How many different phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1…

A: Given data: phone numbers can be formed if it must have 7 digits and cannot start with 0 or 1 and…

Q: How many 5-digit numbers can be made from the digits 1 to 9 if: a) Repetition of digits is allowed?…

A: Here AS PER POLICY I HAVE CALCULATED FIRST 3 SUBPART ONLY

Q: A1. How many integers, greater than or equal to10000 but less than or equal to 39999, can be formed…

A: Since you've asked multiple parts questions, as per our answering guidelines we are supposed to…

Q: Assume that a license plate must be of length 7.  How many different license plates are possible…

A:

Q: Prove: 4 x,,x2x, ER, then |x, +x, +.. + x,| s |x,|+|x,|+... + |x,|

A:

Q: 1..Find the number of words of length 7 using letters from {A,B,C,D,E,F} in which no two consecutive…

A:

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is ed and 1…

A: Answer - A box contains 8 red and 6 green balls.                 How many ways can 3 balls be drawn…

Q: 3) Among a group of seven (not necessarily consecutive) integers, how many must be divided by 5 to…

A: This is a problem related to divination rule of the mathematics. Based on the general concept we…

Q: 2. A labourer who works six days a week started a job on Tuesday at 10:00am and finished after…

A: given that a labourer works for 6 days a weekhe starts his job on tuesdayfinished after working for…

Q: 1. Will there be at least five people who celebrate their birthday in the same month Yes No

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

Q: Suppose that 150 people celebrated their birthday in three months, where 65 people celebrated their…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: 9.5 in 79 in 10.9 in

A:

Q: With no repetition allowed, 2-letter arrangements are to be made form E, B, O, N

A: Letters are E, B, O, and N. No repetition allowed. A)  2- letter arrangements are to be made. The…

Q: Compute the first 5 Legendre polynomi als , ..., L, (x), (These Solutions, P,x) , where n is a whole…

A:

Q: How many ways are there to arrange the 26 letters of the alphabet so that no pair of vowels appear…

A: To find number of ways are there to arrange the 26 letters of the alphabet so that no pair of vowels…

Q: 4. Give the indirect proof of the statement "if n ie an inkger and n'tl is odd hen n is even.

A: We prove it by contradiction.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.