An urn contains 8 red balls, 3 green balls, and 1 white ball. Three are drawn simultaneously. Answer the following questions: 1. How many ways can 1 ball of each color be drawn? 2. How many ways can at least 1 green ball be drawn? 3. How many ways can the same color ball be drawn?

Q: h) How many ways can someone pick out who they think will finish 1st and 2nd in a car race with 8…

A: By using permutation and combination

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

A:

Q: Suppose an urn contains red, green, blue, and black marbles. Suppose you draw marbles from the urn 5…

A: If an event with n different possibilities are repeated r number of times, then the number of…

Q: Suppose it is known that a box of 24 light bulbs contains five defective bulbs. A customer randomly…

A: Given data ,Total no of light bulbs=24No of defective bulbs=5∴No of non-defective…

Q: 5. A bag contains 20 identical red balls, 20 identical blue balls, 20 identical green balls, and one…

A:

Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

A:

Q: A shipment of 95 TV sets is received. Five sets are to be chosen at random and tested for defects.…

A: Here we have Number of TV sets (n) = 95 Number of sets to be choosen (r) = 5 Here we will we the…

Q: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: Renae, Nexael, Braden, Lovely, and Vanessa are attending a play and want to sit together in a row.…

A:

Q: Suppose we want to choose 2 colors without replacement, from the 4 colors red,blue,green, and…

A: a.Find the number of ways in which 2 colours can be chosen among the 4 colours without giving…

Q: An urn contains 6 green balls and 7 red balls. A man selects balls at random without looking at…

A:

Q: In a cohort of 25 graduating students, there are 3 different prizes to be awarded. If no student can…

A:

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

A:

Q: In a survey of 104 pet owners, 19 said they own a dog, and 52 said they own a cat. 15 said they own…

A: GivenTotal no.of pet owners=104No.of owners own a dog=19No.of owners own a cat=52No.of owners bot a…

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

A:

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: How many 13-card hands dealt from a standard deck will have exactly seven spades?

A: A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear…

Q: If a bag contains 4 blue marbles 6 red marbles and 9 green marbles then the number of ways that 3…

A: From the information, given thatThe total number of blue marbles=4The total number of red marbles =…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.