Let's EvaluateDirections: Choose the letter of the correct answer. Write the chosen letter on a separate sheetof paper.1. The digits 5, 6, 7, and 4 are to be arranged to form a 7-digit integer. How many differentintegers can be formed?A. 5,674В. 16,384C. 840D. 242. In how many ways can the letters of the word REFERENCE be arranged?A. 362,880B. 181,440С. 7,560D. 15,1203. In how many ways can the letters of the word MATHEMATICS be arranged?B. 39,916.800A. 6,652,800C. 4,989,600D. 55,4004. A mathematician, a physicist, and an engineer walk into a bar. If there are 3 seatsavailable at the bar, how many ways are there for the mathematician, physicist, andengineer to seat themselves?A. 6В. 4С. 1D. 0115. The mathematician, physicist, engineer, and computer scientist decided to move fromthe bar to a (circular) table. They file to the table, staying in order as they sit down, andwind up seated as shown below.EngineerComputerScientistPhysicistMathematicianHow many different seating arrangements at the bar will lead to the seatingarrangement around the table in the image above?A. 0В. 1С. 4D. 66. Six friends Andy, Bandy, Candy, Dandy, Endy and Fandy want to form a club. Theydecide that there will be 1 president, 1 secretary and 4 ordinary members. How manyways can they organize this club?A. 720В. 30С. 24D. 27. Five children--Myra, Esmond, Yolanda, Carlos, Lin--are playing a game of hide-and-go-seek. Myra counts to 10 and the other four children each go to hide in one of therooms of the house. If there are 7 rooms that the children could hide in, and each hidein a different room, how many ways can the children hide?A. 5,040В. 2,520С. 840D. 2108. How many ways can the letters of the word BOTTLES be arranged such that bothvowels are at the end?A. 60В. 120С. 720D. 1,4409. Among 5 girls in a group, exactly two of them are wearing red shirts. How many waysare there to seat all 5 girls in a row such that the two girls wearing red shirts are notsitting adjacent to each other?A. 12В. 120С. 24D. 7210. In an ice cream shop, there are eight toppings to choose from. The eight toppings arearranged in a round revolving tray. How many ways can these toppings be arranged?A. 5040В. 10080С. 2520D. 5020

Name: Let's EvaluateDirections: Choose the letter of the correct answer. Wr
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Description: Let's EvaluateDirections: Choose the letter of the correct answer. Write the chosen letter on a separate sheetof paper.1. The digits 5, 6, 7, and 4 are to be arranged to form a 7-digit integer. How many differentintegers can be formed?A. 5,674В. 16,

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1. The digits 5, 6, 7, and 4 are to be arranged to form a 7-digit integer. How many different integers can be formed? A. 5,674 В. 16,384 С. 840 D. 24