Make the following pattern block pattern: yellow, green, green, red, yellow, green, green, red. a) What color will the 287th block be? Explain how you arrived at your answer. b) How many of each color block will there be when there are 254 blocks altogether? Explain how you arrived at your answer. c) How many green blocks will you have used when you place the 35th yellow block in the pattern? Explain how you arrived at your answer.

Q: Suppose there are 21 different competitors at a barbeque competition. Judges are going to award 5…

A: Given: 21 different competitors The total award is given = 5

Q: how many different ways can the five letters a,b,c,d & e be arranged?

A: Formula :

Q: There are five pictures but only four display cases. The display cases are unique. How many…

A: The number of pictures is 5. The number of display cases is 4. The display cases are unique.

Q: Ms. Ling has 16 boys and 14 girls in her third-grade class. How many ways can she select 2 boys or 2…

A: Ms. Ling has 16 boys and 14 girls in her third-grade class. We want to find how many ways can she…

Q: The 14 teams in the local Little League are listed in the newspaper. How many listings are possible?

A: In this case, there are 14 teams in the local little league.

Q: Find the number of ways in which at least one piece of fruit could be chosen from a basket…

A: It is given that  Apples = 4 Bananas = 5 Cantaloupes = 2 Pears = 3

Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

A:

Q: Sixteen people decide to play softball. In how many ways can the 16 people be divided into 2 teams…

A: There is total 16 people decide to play softball.

Q: Forty-eight students said they had a computer or a TV in their room. Thirty-five have a computer and…

A: 48 students said they had a computer or a TV in their room35 have computer 20 have a TV

Q: Use the multiplication principle to solve. A home improvement store website listed 219 different…

A: Given, Types of glass wall= 219 number of colors of acrylic​ grout= 32  number of mortar​ trowels=…

Q: At the bakery, a box of cookies is made by selecting four cookies from the six types of cookies –…

A: Formula nr = n!r!(n-r)! ; n ! = 1* 2* 3* 4*.. *n   Example : 3! = 1*2*3 = 6   Meaning : Number of…

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

Q: teacher assigned 35 questions in a test and said that 15 of them will be graded. How many different…

A: A teacher assigned 35 questions in a test and said 15 of them will be graded. The method of…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: A grocery store has 5 checkout counters and 8 clerks. How many different ways can the 8 clerks be…

A:

Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

A:

Q: Ben is studying sculpting, and he was asked to submit 8 sculptures from his collection to exhibit at…

A: The objective of this question is to find out the number of ways Ben can choose 8 sculptures out of…

Q: Determine the number of different ways that the letters of​ "MISSISSIPPI" can be arranged. Find that…

A: There are total 11 letters in the word "MISSISSIPPI" So, we can arrange them in 11! ways. But there…

Q: Find the number of different ways that an instructor can choose 4 students from a class of 31

A: There are 31 students in a class room, out of 31 students 4 students can be chosen in 31C4 ways

Q: A DJ is preparing a playlist of 21 songs. How many different ways can the DJ arrange the firstsix…

A:

Q: Wan has 22 bulbs of the same shape and size in a box. The colors of and amounts of the bulbs are…

A:

Q: Phyllis teaches marketing at a local college. She wants to select one freshman and one sophomore to…

A: It is given that  Freshman = 10  Sophomores = 15

Q: How many handshakes are required for a group of 15 people to shake everyone's hand?

A: Given information- We have given a group of 15 people. We have to find no. of handshake required to…

Q: Eighteen people decide to play softball. In how many ways can the 18 people be divided into 2 teams…

A: There are 18 people available to be divided into 2 teams.We want to create two teams with 9 people…

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: mr jackson has 60 flash cards she will arrange into 5 equal stacks. how many flash cards will be in…

A: mr jackson has 60 flash cards she will arrange into 5 equal stacks

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

Q: Savanna is playing a game with her friends. She tells them to each pick a number, and then she…

A: Solve the following

Q: Find the number of different selections of 5 letters from the words: a. SELECTIONS b. ARRANGEMENTS

A: a) Given word is "SELECTIONS" No. of letters in SELECTIONS=10 No. of different selection from the…