Use the summation properties and rules to evaluate each series. n(n+1) Summation Rules: Σ=1 1 = n; Σ ²₁ i = 2 20 Find the sum: Σ²0₁ (4i² − 7i + 9) n ; Σi=1 i² = n(n+1)(2n+1) 6

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: 33. 2 ²² = ( ² ) ² + ( ² ) ² 4 8

A: (29) Given x2+y2-z2=1 n

Q: What does 6!2! 4!3! equal?

A: Using factorial formula:n! = n* [n-1] *[n-2] ------6! = 6*[6-1] * [6-2] * [6-3]* [6-4]* [6*5]     =…

Q: From a list of 49 captains, 4 are to be promoted to major. In how many ways can this be done?

A: GivenNo.of captains=49No.of captains promoted as major =4

Q: Evaluate: 40!/4!38!.

A: To evaluate 40!4! 38!. By the definition of factorial,  n!=n ×(n-1)×(n-2)×...×3×2×1 That is  40! =…

Q: Two hundred college students were recently asked if they participated in music or sports. 127…

A: Solution

Q: n a survey of 42 people, 16 liked country music, five people liked country and rap, 17 people liked…

A: Given that there are total 42 people, in which people who liked country music is 16, total number of…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: In how many ways can six books be lined up along a shelf?

A:

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: You are a professor of journalism and have 14 students in your class. You tend to call on students…

A: It is given that, There are 14 students in your class. professors can choose 6 students during your…

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Four married couples have bought 8 seats in the same row for a concert. In how many diff ways can…

A: Given: Four married couples have bought 8 seats in the same row for a concert.

Q: 14! divided by (14-6)!

A:

Q: Calculus Question

A:

Q: What is 3/2 * 4!

A:

Q: Determine 0!, 1!, 3!, and 4!.

A: Here, the values of 0!, 1!, 3! and 4! are required to be computed.

Q: What is the largest sum of money-all in coins, with no silver dollars-that I could have in my pocket…

A:

Q: A survey of 1900 commuters in New York City showed that 1120 take the subway, 620 take the bus, and…

A: Introduction:  Consider the commuters to be a sample of universal set and similarly for the subway…

Q: There are 10 students in a class. In how many ways can an instructor give at least one student a…

A: There are 10 students So sample size, n= 10 And we've to find ways for at least 1 student. So r= 1

Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis & our topic is uniform continuity .

Q: Determine 0!, 1!, 3!, and 4!.

A: Factorial Rule:The total number of ways n different objects can be arranged where order of the…

Q: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

A:

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: Explain the meaning Collections for Third Parties.

A: Third parties are the bidders who provide service for a firm or organization by doing their part of…

Q: Your daughter invited three couples to watch a  theater musical sponsored by my husband. If the 6…

A: Given that  Number of VIP guests = 6  = ( 3 couples ) If the 6 VIP seats arranged in a row are given…

Q: in how many ways can the 20 children in a third-grade class be paired up for a trip to the museum?

A: Given that, There are 20 children and we need to make them as pairs.

Q: tRanye function? y= tan!

A: Explanation of the solution is given below...

Q: How many ways can five boys and five girls be seated alternately at a circular table?

A: Given: 5 boys and 5 girls are to be arranged in circular way alternately. The diagram can be…

Q: There are 33 guests at your home for a dinner party. In how many ways could the guests arrange…

A: The objective of this question is to find out the number of ways in which 33 guests can arrange…

Q: What’s the indicated value of 20!?

A: 20! =?

Q: how many ways are there to arrange the letters in the word BAGGAGE.

A: The objective of this question is to find out the number of ways the letters in the word 'BAGGAGE'…

Q: How many ways can 7 people fall in line if 2 persons doesn’t want to be seated next to each other?

A: