1. Write out Pascal's Triangle through the 10th row.

Q: 3. If today is Thursday, what day is it 500 days from now?

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

Q: a) Suppose in a university, each subject offered to students has a subject code consisting of four…

A: a) In a university each subject offered to students has a subject code consisting of four letters…

Q: 1. A school issues each student an ID with a unique code consisting of two lowercase Tolowed by…

A: The id will consist of a unique code with 5 characters to be filled. First, we will have two letters…

Q: You are tasked to arrange five different Mathematics books, four different Science books, and three…

A: Given,no.of mathematics books=5no.of science books=4no.of English books=3

Q: Telephone area codes are three-digit numbers of the form XXX. Originally, the first and third…

A:

Q: 4. How many five-letter codes can be formed from the letters of the English alphabet if repetitions…

A: Solution: Number of English alphabet  letters = n= 26

Q: How many phone numbers are possible in the (770) area code for the form ABC-XXXX if: A is restricted…

A: Here,the phone  number  is in the form ABC-XXXX. Given that A is restricted  to 1-9, that is we can…

Q: 15 E #1

A: There are 4 letters A, B, C and D.Here, use letter is allowed to use again.

Q: 1. How many 3 - digit numbers less than 150 can be formed from the digits 0, 3, 4, 6, and 9?

A: There are 5 digits that need to be used for required number formation. The number less than 150…

Q: A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. a. How many codes can be formed…

A: Given:

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: In how many ways can the letters of the word 'RETAIL' be arranged in such a way that the vowels…

A: The objective is to find out in how many possible ways can the letters of the word 'RETAIL' be…

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: What are the first 5 entries in row 100 of Pascal's Triangle? O 100 C1, 100 C2, 100 C3, 100 C4, 100…

A:

Q: Since question b has 5 parts to it its still 1 question

A: Given that y = 48×0.99t where y is the temperature of liquid in degree celsius and t is time in…

Q: 15. Choose the correct way to rewrite (B C)' using DeMorgan's Laws (Bn C)' B'UC' Bn C' B'n C'

A: our objective is to choose the correct choice.

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: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

A:

Q: 7. If AABC = AXYZ, under what circumstances is ABCA = AXZY?

A:

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: 10.2 The language of the Glomuleks contains 78 different characters, including ones that sound like…

A: There are 78 different characters in the language of the Glomuleks.

Q: 1. The license plates for cars in Nova Scotia typically have 6 digits. The first three digits are…

A:

Q: @3) IF 3 books are picked vandomly from ashelf Containin 4 Engg. books , 3 physis ,1 dictionany…

A: Given,no.of Engg books=4no.of physics books=3no.of dictionary books=1total no.of books=8

Q: 18. A security company requires its employees to have a 7-character computer password that must…

A: We have 7 places which among 5 must be filled by letters and the remaining 2 must be filled by…

Q: 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…

A:

Q: 11. Consider the word "ADDISABABA" (i) (ii) (iii) In how many ways can the letters of the word be…

A: We have given the word ADDISABABA.  We have to find the number of arrangements of the letters of…

Q: 11. If an+1 = 2an + 3 and ao = 1, then az = %3D 509 O 513 O 487 O 496

A:

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: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

A: Given data current rules for telephone area codes allow the use of digits 2-9 for the first digit…

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: 14 1. How many code words of any length (including 1-letter words) can be formed from the letters in…

A: Given problem Given that   We have to find the number of code words of any length ( including…

Q: Question 8part 3,4,5

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: Who did Srinivasa Ramanujan (math genius) start writing to?

A:

Q: 7. How many four-digit codes can be made out of the digits 0, 2, 4, 6, and 8 if repetition of digits…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not…

A:

Q: 5. What would go in the justification column for line (7) of this proof: (4) (5) 2,3 (6) 1,2,3 (7)…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: 12. az = 19 and a15 -1.7

A: Solve

Q: 1- Consider a simple computer, numbers can only be recorded to a certain ..

A: Consider a simple computer, numbers can only be recorded to a certain full accuracy.

Q: (1) If it is currently July, what month will it be 40 months from now?

A:

Q: 5/- Show that Jim c

A: C>0 Consider   y=C1n log y=log(C1n) (logab=bloga)

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: -Each student at State University has a student ID number consisting of five digits (the first digit…

A:

Q: 11. How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is…

A: there are 8  digits from 2-9.  Therefore, A can be chosen in 8 ways. For B there are 10 choices…

Q: 1. Solve the Soduko puzzle. 6 8 1 3 2 5 4 7 2 3 8 49 2 9 8 7 5 1 6 3 9 1 4 6. 7 5 9 2 87 3 O 00

A: Sudoku is a game in which a number puzzle of 9 by 9 matrix is given and the numbers from 1 to 9 are…

Q: det A = 9214녀 Nor4 N 5 O o 2NN

A: