Use Inclusion/ Exclusion to find the number of fruit baskets of size exactly 100 consisting of apples, bananas, cherries, and dates such that there are at most 10 apples, at most 20 bananas, and at most 30 cherries. Leave your answer unsimplified.

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

A:

Q: A artist donates 4 different paintings anf 5 different vases in a museum. The donations will be…

A: Givenno.of paintings=4no.of vases=5Total no.of donations=9

Q: Determine the number of subsets of {14, 15, 16) O A. 3 В. 7 ОС. 8 O D. 6

A: To find  The number of subsets of a set {14, 15,16}

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

A:

Q: Rental cars belong to one of eight classifications depending on type and size. How many cars does a…

A:

Q: 1. How many different words (real or imaginary) can be formed using all the letters in the word…

A:

Q: How many six-person volleyball teams be made from a group of ten men and three women if: a.There is…

A:

Q: 30 students play volleyball, 25 students play football, and 20 students play both games. Using a…

A: Given, Number of students who play Vollyball=30 Number of students who play football=25 Number of…

Q: In certain state the license plates all consist of 2 letters followed by 3 digits. a. How many…

A:

Q: How many 5 person teams can be formed from a group of 25 people? O 53,130 O 6,375,600 O 125 3000

A: Division into Groups:      To find the number of ways in which 'm' things can be divided into groups…

Q: i. Find how many arrangements of all letters can be made from the word “COPROCESSORS“. ii. Find how…

A: Permutation: A permutation of a set of items is an arrangement of those items into a sequence or…

Q: Out of 6 children, in how many ways can a family have at least 1 girl?

A:

Q: Let r, y E R". Show that for any sequence {r4}, {Yk} such that x → r and yk → y, we have limg-→0…

A:

Q: Alphanumeric Pattern W, U, R, N, I, Z, V, R, N, J, H, K, N, Q, T, *

A: To determine the next elements in the given series.,

Q: 4.) How many ways are there to seat 6 people in a row?

A: given data  we have to find number of ways to arrange 6 peoples in a row.

Q: 2. In how many ways can 6 people: a. be arranged in a row? b. if only three of them are chosen?

A: 6 peoples are there.

Q: There are 32 different cards in a deck for playing Twenty-Nine. The cards are distributed equally…

A: As 32 cards are distributed equally among four players, the numbers of cards on each player is…

Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: A computer programming team has twelve members. Suppose five team members are women and seven are…

A: We find the number of groups of five that can be chosen with three women and two men from a team of…

Q: State whether each arrangement represents a permutation or a combination.   a. 8 people seated…

A: Arrangement classification- Permutation or Combination

Q: 1. Find the next item in the pattern. 1, 2, 3, 5, 8, 13, . .

A:

Q: an ATM personal identification number consists of 3 digits. 0,1,2,...,8 or 9 in succession. how many…

A: GivenMake 3 digit with the help of 0,1,2,3,4,5,6,7,8,9

Q: Sammy's Salsa, a small local company, produces 20 cases of salsa a day. Each case contains 12 jars…

A:

Q: How many faces,edges,vertices in sphere, cylinder,cone, hemisphere

A: Faces: The number of flat surfaces in any solid. It cannot be curved. Edges: It's a straight line…

Q: A basket holds a set of balls. Each ball is red, green, or blue. How many balls must there be in the…

A: We have given that A basket holds a set of balls. Each ball is red, green, or blue. How many balls…