58. a. Write the first four rows of Pascal's triangle. b. Expand (a + b).

Q: 12. How many 5-digit numbers are there in which three of the digits are 7, or two of the digits are…

A:

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

A:

Q: What is a coterminal to 50°

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: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…

Q: 8. Explain why the following "proof" is incorrect.

A: The argument is valid for almost all n. For large n, It is very natural argument that follows from…

Q: 2. Use Pascal's triangle given in Table 9.7.1 to compute the values of а. b. С.

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

Q: The first 5 terms in row 26 of Pascal's Triangle are 1, 26, 325, 2600, 14950. 5 terms in row 27 are:…

A: Pascal triangle row

Q: 5. a) How many 10-letter 'words' can be formed from the letters in SUC ESSFUL, if each letter can be…

A: Given word : SUCCESSFUL Number of letters = 10 Number of C = 2 Number of S = 3 Number of U = 2

Q: Given S = {1,2,5,8,9}, in how many 3 digit numbers can be formed if each number cannot be used more…

A: Here given ,  There are total 5 digits are available . And from given 5 digits make 3 digit number…

Q: In how many ways can an advertising agency promote 12 items 6 at a time during a 12 - minute period…

A: Given that, n= 12 And = 6

Q: 2. Find the missing numbers in the magic square below. 2 13 10 11 6. 12 15 1 4-

A: Consider the provided table,

Q: If N={1,2,3), then (xlxEN< ? }

A: Given :- N = {1,2,3} Then {x | x ∈ N &lt; ?} Here , N &lt; 4 So, {x | x ∈ N &lt; 4}

Q: IV How many different number plates for cars could be made if each number plate contains four (4) of…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: 10. How many numbers greater than 500 can be formed from the digits 2, 3, 5, 8, and 9 using each…

A: Given Data : The given numbers are : 2,3,5,8 &amp; 9 To Find : Total numbers greater than 500 formed…

Q: 13. How many 3-digit numbers can be formed using digits from {1,2,3,4,5} if repeated digits are not…

A:

Q: a. if the characters should not repeat? b. if the characters repeat? c. if the first 3 characters…

A: Given: A social media account requires a 6-character password. Passwords should only contain numbers…

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: 3. In how many different ways can the letters of the word 'COMPUTER’ be arranged?

A: Solution (1)

Q: 28. Without repeating any digit, how many 4-digit numbers greater than 5000 can be made using the…

A:

Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

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: 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: How would you use Pascal's Triangle to expand (x +y)^6

A: The row form of the Pascal's triangle starting 1, 6, 15 ... gives the sequence of coefficients for…

Q: (a) How many three-digit numbers can be formed from the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if…

A: The counting can be done in 2 different ways, i.e. in first case the 1st digit can be 3 and in the…

Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 2.13 was not the asnwer.

A: Given: Sample variances12=8.5Sample variances22=4

Q: Interpret a Cohen's d of 42.83

A: Effect Size: The effect size quantitative method to evaluates the impact of the test. The larger…

Q: Use Pascal's Triangle to expand (5 + 2y)*.

A:

Q: 9 13 4. give three s0lutions

A: The given inequality is q≥134

Q: What is the sum of the first 6 terms in Diagonal 5 of the Pascal's Triangle?

A: First draw the Pascal's triangle. The starting diagonal is called as diagonal 0 .

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: Write down the 7th row of Pascal's Triangle.

A: We have to find the 7th row of Pascal's Triangle

Q: Determine if 4x) - Fut5 7x+5 one-to-one Fmelion is one - to- one a 8x +4 Ove your conclusion

A:

Q: In how many ways can the word SPACE be misspelled?

A: The number of permutations of n distinct elements is n!

Q: 9. Descrise the end behanos of the Gollor wng furtetoon.

A: The given function is: f(x)=-x5+2x3-x+1

Q: 3) The sum of the terms in the 9th row in Pascal's Triangle is

A: Step-by-step solution Step 1 of 3 The Pascal’s triangle is shown below:

Q: 2 6. The sum of the first n odd natural numbers is equal to n.

A:

Q: 3. How many different license plates are possible if a state uses (a) Two letters followed by a…

A: (a).We have  (0,1,2,...,9) 10 digits , and 26  letters (A,B,C,.....,Z). Repetitions of digits and…

Q: Use Pascal's Triangle to expand (1+2y)ª. (1+ 2y)*

A: Remember how the Pascal triangle work

Q: 20. How many 4-digit numbers can be formed using the set {1,2,3,4,5} if repetitions are allowed and…

A: If n elements is to be arranged  at n position out of which p and q number of elements are repeated…

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: 2) Find the number of distinguishable permutations of the digits of the number 911 912 271. 3) In…

A:

Q: 11 How many 6-letter words (even without meaning) can be created from the letters of the word…

A: There are several powerful methods for counting objects and sets of objects without actually having…

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: What is the sum of the first 7 terms in diagonal 10 of the Pascal’s triangle?

A: Given :   Pascal's triangle