mball machine dispenses 5 varieties of gumball (red, blue, green, yellow, and pink). How many different collections may be obtained from the machine, where each of the collections consists of a. 10 gumballs, at least 6 of which are red? b.) 20 gumballs, all of them green

Q: . A zip code contains 5 digits. How many different zip codes can be made with the digits 0–9 if no…

A: Given; Total number of digits=5Condition- First digit is not zero and no digit is repeated.

Q: In a shipment of 10 items where 3 are defective. In how many ways can you receive 4 items where 2…

A:

Q: How many ordered triples of letters are there taken from the letters A, T, C, and G?

A: given letters: A,T,C and Gtotal number of letters = 4

Q: A box contains 9 red, 8 blue, and 13 green balls of the same size. How many balls, do we need to…

A:

Q: A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the same…

A: Given: 4 Mothers 5 Children

Q: a. no three digits are to be the same? b. the number must be odd? c. the number must be even?

A: here given  5 digit number formed from the digits 1,2,3,....9  so there are 9 digit available for…

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

A:

Q: There are four oranges, five pineapples, and t juice using only two fruits of different types. make…

A: Given: Number of oranges = 4 Number of pineapples = 5 Number of mangoes = 3 Total number of fruits =…

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: A particular brand of shirt comes in 8 colors, has a version with a pocket and one without, and…

A: The shirts can be any of the 8 colors.

Q: Assume that the candle manufacturer has 7 types of round candles and 5 types of square candles…

A: Permutations and combinations: When one has to choose among a set of objects or people, then…

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: . How many ways can you order 2 blue marbles, 4 red marbles and 5 green marbles? Marbles of

A:

Q: Suppose that 9 horses run a race. How many first-, second-, and third-place finishes are possible?

A:

Q: Assume that a grade of A,B,C,D, or F is assigned to each of 9 students. In how many ways can grades…

A: From the provided information, The grades are A, B, C, D or F Total students = 9

Q: To join a certain club, a person must be either a statistician or a mathematicianor both. Of the 25…

A: Consider the provided information, Let A denote the cardinality of the set A. Then we have a…

Q: . How many are not in A?

A: We have to find numbers/elements which are not in set A. That means we have to find set Ac.

Q: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: To calculate the no. of permutations of three items can be selected from a group of six and also…

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: A hand consists of 4 cards dealt from an ordinary deck of 52 cards. How many hands are there…

A: Solution: The ordinary deck of 52 cards consist of four suits (hearts , diamond, spades, and club)…

Q: Answer each of the following. In how many ways can 6 persons be seated in a row? In how many ways…

A: 1) The objective is to find the number of ways 6 persons can be seated in a row:

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…