1. If row 3 in Pascal's triangle is 1, 3, 3, 1, what is row 4 in Pascal's Triangle? 2. If row 5 in Pascal's triangle is 1, 5, 10, 10, 5, 1, what is row 6 in Pascal's Triangle?

Q: Page |1 MAFS.6.RP.1.1 This table shows the number of books, by type, checked out from the school…

A: Solve

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A: Given that today is Thursday. Now, we have to find the day which will fall 500 days from now. Divide…

Q: Problem 3: How many different ways can 3 red, 4 yellow and 2 blue bulbs be arranged in a string of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: how many different 5-digit codes can be formed if the first digit must be an odd number, the second…

A:

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Q: Need help with questions 13-21

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Q: Problem No.3: Suppose that we wish to establish a three-letter code using any of the 26 uppercase…

A: According to the provided information, the code should be three-letter codes. but no letter should…

Q: Problem No.6: An airline association assigns three-letter codes to represent airport locations. For…

A: There are 26 letters in the English alphabet.

Q: 1. You place $5 on Odd, $5 on Red, and $5 on Column 2 and the number 5 appears after the spin of the…

A: given data $5   on odd $5  on Red $5  on column 2   result 5 appear   result in our favour 5 is odd…

Q: 1. In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads be arranged in a…

A: Ans#1- In how many ways can 2 red beads, 3 blue beads, 2 yellow beads, and white beads…

Q: how many secret codes can be formed consisting of five letters or four digits but not both

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Q: Consider Problem 40 of the Rhind Papyrus. It states: Divide 100 loaves among 5 men so that the sum…

A: Divide 100 loaves among 5 men so that the sum of the three largest share is 7 times the sum of two…

Q: Suppose there are 8 roads connecting town A to town B and 4 roads connecting town B to town C. In…

A: Solution: From the given information, there are 8 roads connecting town A to town B and 4 roads…

Q: A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine,…

A: (a)It is given that a DNA sequence can be represented by a string of the letters ACTG,Now, the…

Q: In how many ways can 3 mathematics books, 5 science books, and 2 language books be arranged in a…

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Q: ms in row #14 of the Pascal’s triangle

A: In this question, the concept of the pascal triangle is applied. Pascal Triangle Pascal's Triangle…

Q: 9. There are 5 different roads from City A to City B and 3 different roads from City B to City C. In…

A:

Q: If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then…

A: In question, Given that A, B, C, D and E are 5 alphabets then three alphabet are chosen from them…

Q: 19, replace each with the symbol , or = to make a true statement. %3! Problems 14 3. 14. -5.6 -4.8…

A: Statements  is given

Q: In 1835, Samuel Morse, a professor of art at New York University, devised a code that could be…

A: Given that the code can be upto a combinatior of 5 symbols. For each symbol we have 2 choices.    If…

Q: What is the largest number in the row starting "1 4 ..." of Pascal's triangle?   What is the sum…

A: To find what is the largest number in the row starting "1 4 ..." of Pascal's triangle? To find what…

Q: under what condition is (AB)^-1=A^-1B^-1

A: You didn't mentioned about A and B.    Taking A and B as square matrix.  Here, A-1 and B-1 will also…

Q: Problem 3. There are 7 Korean books and 8 Japanese books on the bookshelf. Korean books should be…

A: Given that 7  Korean Books and 8 Japanese books  We have to find number of ways to arrange the books…

Q: How many four-digit passwords can be made from the digits 0 to 5, if digits can be repeated?

A: From 0 to 5 there are 6 digits.  Given that the digits can be repeated. This means for each digit…

Q: What day of the week was yesterday if five days before the day after tomorrow was

A: Let consider that Today is seventh day. So for day of the week was yesterday: Five days before the…

Q: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many three digit numbers…

A: Solution To make the 3 digit number we will use permutation.

Q: Problem No.4: How many two-symbol code words can be formed if the first symbol is an uppercase…

A: The code has two- symbols.

Q: Item#3 In how many ways can 5 men and 3 women be arranged in a row if no two women are standing next…

A: Introduction: Permutation: Permutation is the method of arranging the elements. Permutation is used…

Q: Need help with question 4 onl

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

Q: How many ways can the letters in MATHROCKS be arranged if it must begin with a vowel and end with a…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: Problem 14. License plates in a particular state display 2 letters followed by 2 numbers. How many…

A:

Q: PROBLEM 04: A code is formed by selecting four letters from the set L= {A, B, C, D, }, without…

A: There are total 5 letters, such that, A, B, C, D and E.

Q: Suppose there are 30 characters on a line which included A, B and C. If there are 9A, 14B, and 7C.…

A: We have to find no. Of permutations.

Q: Give 5 math patterns found in Pascal's triangle

A:

Q: 10. How many three-letter codes can be made from the letter of the word LOCKED if the first and the…

A: In the word LOCKED. Total 6 letters. the consonants are: L, C, K, D. Total 4 consonants. The vowels…

Q: PROBLEM 2 Fnd the nuLmber of 4 letter words using the letters of the word MISTER in which atieast…

A: ANSWER: From the given data,

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Q: a When 73.330 and 68.12 are divided, the answer should be based on Enter the answer with the correct…

A: a. 73.330÷68.12 We convert the divisor 68.12 to a whole number by moving the decimal point 2 places…

Q: Find 3? + 2? if ? = [5, −4, 4] and ? = [1, 8, 11]

A:

Q: (A) How many different three-letter initials can a person have? (B) What if the initials are not…

A:

Q: .if the license starts with D; either O must not be placed next to 0 or I must not be placed next to…

A: As per the question nothing is clearly mentioned but as per question I express the word.

Q: 10) 34, 26, 18, 10, ... 11) 29, 32, 35, 38, ...

A:

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: If we have to fill n boxes with no repetition with n objects then then there are…

Q: Suppose there are 6 girls and 6 boys in a class. In how many ways can you arrange these children in…

A: Permutations and combinations

Q: Write out row 8 of Pascal’s Triangle

A: Elements of pascals triangle are written by summing two adjacent elements of previous row.

Q: Given the following digits: 2, 3, 5, 6, 7, 9, a. How many 3-digit number combinations can be made…

A: Given digits:-  2, 3, 5, 6, 7, 9 we have to calculate the followings:- a) How many 3 digit number…

Q: Problem 1.1: From the letters (A, B, C, D, E, F}, how many: (a) 3-distinct-letters codes can be…

A: We have a total of 6 alphabets from which we have to create, (a) 3-distinct-letters code (repetition…

Q: d) Suppose two team members insist on either working together or not at all on projects. How many…

A: Given Information: Total number of members = 15 Number of senior workers =7 Number of junior workers…