(a) One in which there are five spades, four hearts, three diamonds, and one club. (b) One in which there are five spades, four hearts, two diamonds, and two clubs. (c) One in which there are five spades, four hearts, one diamond, and three clubs.

Q: Assume that you have a 52-card deck at hand and you are planning to draw 6 cards from the deck. How…

A: We have,Number of cards in deck = 52Number of cards are planning to draw from deck = 6

Q: 2. Matt Tress found 46 cents under his bed. He had less than 11 coins and one of the coins was a…

A: We will solve the problem

Q: Fifty (50) students in a school played Basketball and Football. Every student plays at least one of…

A:

Q: A. Arrow has 3 red arrows, 4 green arrows and 5 blue arrows. He is going out to save the city and…

A: The arrows are 3 red, 4 green and 5 blue so the total number of arrows that can be taken are 12 so…

Q: A boy owns 10 pairs of pants, 7 shirts, 4 ties, and 8 jackets. (a) How many outfits can he wear to…

A: a) Given that the boy owns 10 pairs of pants, 7 shirts, 4 ties, and 8 jackets. All items are…

Q: How many different ways can the golf pro at a golf club select a foursome consisting of 1 man and 3…

A: Given,   Number of males = 8 Number of females = 11   The objective is to find how many different…

Q: How many different 4 card hands can be dealt from a deck of 52 cards?

A:

Q: a. The large books must always be together. b. The first book and last book must always be medium…

A:

Q: There is a class where every student either wears glasses or has dyed hair. There are 35 students in…

A:

Q: The following question involvesa tandard deck of 52 playing cards. In such a deck of cards there are…

A: Given, You draw two cards from a standard deck of 52 cards without replacing the first one before…

Q: A boy owns 10 pairs of pants, 6 shirts, 2 ties, and 9 jackets. (a) How many outfits can he wear to…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: There are 20 members of the debate team, including 9 girls and 11 boys. Complete parts (a) through…

A: Given 20 members=9 girls and 11 boys  r!=r(r-1)(r-2)x...x3x2x1

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

A: ANSWER :

Q: A team of 6 people is to be chosen from a group of 7 girls and 4 boys. There ae possible teams if…

A: Combination formula :  Number of ways to select  r items from total n items is given by,   Crn =…

Q: In how many ways can this be done?

A: A catering service offers 3 appetizers, 7 main courses, and 5 desserts. A customer is to select 2…

Q: Andie has a blue sweater, a red sweater, and a purple sweater. She has a white shirt and a tan…

A: Our objective is to find in how many different ways can she wear asweater and a shirt together.

Q: Yusun’s Diner sells tacos, burgers, wings, pizzas, and cookies, in the following family meals.…

A:

Q: The security department has 6 employees. Four of them won't have to work on Thanksgiving day. How…

A: No. of employees in a security department(n)=6No. of employees that the supervisor wants to select…

Q: Age Age   Gender Under 40 40 or Older Total Male  12 2 14 Female 8 3 11 Total 20 5 25 The table…

A: Given data: Total people=25 Male=14 Female=11 Under 40=20 40 or Older=5

Q: Jessica is grocery shopping and has 16 cherry tomatoes and 12 grape tomatoes in her shopping basket.…

A:

Q: Three hungry pirates, Ahab, Bluebeard, and Hook, were stranded on a desert island. They came upon a…

A: Here we solve the problem by algebra.

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.