A singer/performer is auditioning for a musical play.If she is required to sing any three of the 7 prepared songs,in how many ways can she make? solutions:we need to use the combination formula since order does not matter.

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: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: a). b).

Q: x₁ + x₂ + x3 + x4 + x5 0.

A: given x1+x2+x3+x4+x5<81............(1)andallxi>0now we add one integer x6 0 such that…

Q: A furniture maker makes three-legged stools and four legged tables. In one week she used 37 legs.…

A: A furniture maker makes three-legged stools and four legged tables. In one week, she used 37…

Q: Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of…

A: Given that Ethan has to choose 1 sandwich, 2 sides, and 1 medium drink. There are 5 different…

Q: 1- (a) (b) dx In the following problems write the given linear system in matrix form. = 3x - 5y dy =…

A: A system of linear differential equations is a set of differential equations in which there is a…

Q: If n(A) = 108, n(A ∪ B) = 146, and n(A ∩ B) = 41 find n(B).

A: Please refer the attached image for complete solution.

Q: The drama club members buy 864 bags of popcorn to serve during the intermission of their play.…

A:

Q: n(A) = 104, n(A ∪ B) = 144, and n(A ∩ B) = 45, find n(B).

A: The following information has been given: n(A) = 104, n(A ∪ B) = 144,  n(A ∩ B) = 45 We need to…

Q: en people split up into five groups of two each.  In how many ways can this be done?

A: We can answer the question as below.

Q: Ethan is at a sandwich shop and is looking at the combo meal, which includes a sandwich, a choice of…

A:

Q: Miguel is playing cards with his brother when he draws a card from a pack of 30 cards numbered from…

A:

Q: Find, if possible, (a) A + B, (b) A − B, (c) 2A, (d) 2A − B,and (e) B + 1/2 A.

A: Consider, Thus,

Q: (12 – 8j)(4 + 3j) + 10

A:

Q: Explain How does = K/K+1)/2K+1) + / K+ 1)² = + (K+1) (2K² + K +6K+6) to me:

A:

Q: In a park, there are 33 people roller skating. Each person is either using a roller skate that has 2…

A: Total number of people=33 Total number of wheels = 105

Q: Judy and John are going out tonight for dinner and a movie. There are 3 restaurants they like and 4…

A:

Q: 7x 9) 2.x х-2 20х + 16

A: Solving the problem by finding the answer.

Q: After moving to a smaller place, Payton realized that she has room only for 7 out of 8 pairs of…

A: If there are n objects and the n objects are to be placed in m different places, then the number of…

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

A:

Q: (a + b) (a+b+c) = a² + 2ab + b² + ac + bc Select one: O True O False

A: Solution-

Q: 3. What is the product (3 + 2V5)(2 + 4V5)?

A: To find the product  (3+25)(2+45)

Q: Ding has 100 gold coins to put in his 4 bags. He puts the coins in his bags so that each bag has two…

A:

Q: If Maya has 5 more than twice as many candles as Katie which expressions show the number of candles…

A: Given that:   Maya has 5 more than twice as many candles as Katie.

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.