28. A box contains 5 green, 7 yellow, and 10 orange ping pong balls. How many ways can 5 balls be selected, if a. all the balls are orange? b. all the balls are green? c. all the balls are yellow? d. two must be green? е. two are orange and three are yellow? f. one is green and four are orange? g. three are of one color and two are of another color?

Q: B2. b. Determine whether each situation involves a permutation or a combination. then find the…

A: a) This involves both permutation & combination. Reason : At first we have to choose 3 people…

Q: 2. A box contains 6 green, are selected at random from the box. a. How many ways can the four balls…

A: given data  6 green 5 yellow 4 blue 3 orange _______________ 18 total balls

Q: Suppose you are ordering a calzone from D.P. Dough. You want 6 distinct toppings, chosen from their…

A: Since we want 6 distinct toppings chosen from a list of 8 vegetarian toppings, this is a combination…

Q: a. In how many ways can the students be split into three study groups with 3 members each such that…

A: Consider 9 students Ann, Bob, Cath, Dan, Eva, Fay, Gus, Hui, lan . there are 9 students , And three…

Q: You are heading to the animal shelter to choose a pet. The shelter has the following pets available:…

A: Given Information: Number of Cats = 15 Number of Dogs = 24 Total number of pets available = 39…

Q: . Eleven students are lined up to be seated. How many ways can 6 of them be seated in a row of 6…

A:

Q: a. State one difference and one similarity between permutation and combination. b. How many…

A: 3. The difference and similarity between permutation and combination are stated below.

Q: 1. Twelve persons are to sit at a round table. Two particular people insist on sitting opposite each…

A:

Q: The Greenbush Bakery is holding a sale on doughnuts. They sell 6 varieties: apple cider vinegar,…

A: Given: The number of varieties of doughnuts = 6 (apple cider vinegar, sour cream, cherry, caramel,…

Q: 5.Francis wants to buy ten different books, but he only has money to buy four. How many different…

A: 5) Combinations: The combination is a mathematical technique which tells the way of selecting items…

Q: 3.65 We have seven girls and seven boys. In how many ways can we form: (a) seven girl-boy pairs to…

A:

Q: ways can 5 balls be selected if: a. all the balls are orange? b. all the balls are green? c. all the…

A: HERE GIVEN, there are total 5+7+10 = 22 pingpong balls in box here 5 balls are selected  here use…

Q: 4. Electronic lottery numbers are from 1 to 42. To win the prize there must be 6 numbers in which…

A: Given electronic lottery numbers are from 1 to 42. To win prize the prize there must be 6 numbers…

Q: 2. P =

A: 2) Permutations: A permutation is a mathematical technique which is defined as the number of…

Q: (combination) From a deck of 52 playing cards, 5 cards are to be drawn. a. How many 5-cards hands…

A: We have a  deck of 52 playing cards.  We draw 5 cards. Now, the number of ways to choose r things…

Q: 25. A boy owns 3 pairs of pants, 5 shirts, and 2 jackets. How many different outfits can he wear to…

A: Given, a boy owns 3 pairs of pants, 5 shirts and 2 jackets.

Q: C4

A:

Q: 1. 7!

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A Las Vegas couple is remodeling their home. They would like to paint the interior of their home…

A: Total color available  in shop =13 i.e total outcome=13 We know that Crn=n!r!n-r! Also…

Q: A team of 28 soccer players needs to select two co-captains. In how many ways can two co-captains be…

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Q: 9. Answer the following questions. From a deck of cards, a card (or cards) are randomly selected. a.…

A:

Q: You need to arrange four of your favorite books along a small shelf. How many different ways can you…

A: Given that Number of favourite books have to arrange in a small shelf=4 To find Total number of…

Q: Eight cards are marked with the numbers 1, 2, 3, 4, 5, 6, 7, and 8, then shuffled, and three cards…

A:

Q: 18. A survey of 55 horse owners were asked what type of saddle they use when riding. The choices…

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Q: Six friends, Brennan, Chad, Heather, Rona, Tracy and Trevor, a theatre. The number of ways that they…

A: It is given that, Six friends, Brennan, Chad, Heather, Rona, Tracy, and Trevor are going to the…

Q: Trevor has 6 books on his summer reading list. He wants to choose 3 books to pack them in his…

A:

Q: 2. A basketball team of 12 players must be chosen from 18 players. In how many ways can this be done…

A: