Questions: 7. In how many ways can you arrange 5 of the c. 120 d. 35 9. In how many ways can you arrange all the numerals 1 through 5 ? a. 24 c. 15 b. 120 d. 25 10. Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players? a. 120 c. 24 b. 15,120 d. 362,880 11. Players on a soccer team wear jerseys numbered 1 through 15. In how many different ways could you arrange 10 of the players, if the position does not matter? a. 1,860,480 c. 3003 b. 15,504 d. 53,130 12. Your shirt drawer contains 8 different colored shirts that you will wear once over the next 8 days. What is the probability that you will randomly choose the orange shirt to wear today and the red shirt to wear tomorrow? a. 1/8 c. 1/56 b. 1/16 d. 1/4 13. You spin a spinner with 5 equal spaces and roll 6 -sided die. How many possible outcomes are in the sample space? a. 11 c. 12 b. 30 d. 1 14. A girl and a boy each randomly grab a piece of candy from a bowl containing 9 pieces of chocolate, 7 fruit chews, 9 lollipops, and 9 peppermints. Find the probability that both events A and B will occur. Event A : A girl grabs a lollipop. Event B : A boy grabs a fruit chew. a. 0.072 c. 0.056 b. 0.051 d. 0.070

7. In how many ways can you arrange 5 of the c. 120 d. 35 9. In how many ways can you arrange all the numerals 1 through 5 ? a. 24 c. 15 b. 120 d. 25 10. Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players? a. 120 c. 24 b. 15,120 d. 362,880 11. Players on a soccer team wear jerseys numbered 1 through 15. In how many different ways could you arrange 10 of the players, if the position does not matter? a. 1,860,480 c. 3003 b. 15,504 d. 53,130 12. Your shirt drawer contains 8 different colored shirts that you will wear once over the next 8 days. What is the probability that you will randomly choose the orange shirt to wear today and the red shirt to wear tomorrow? a. 1/8 c. 1/56 b. 1/16 d. 1/4 13. You spin a spinner with 5 equal spaces and roll 6 -sided die. How many possible outcomes are in the sample space? a. 11 c. 12 b. 30 d. 1 14. A girl and a boy each randomly grab a piece of candy from a bowl containing 9 pieces of chocolate, 7 fruit chews, 9 lollipops, and 9 peppermints. Find the probability that both events A and B will occur. Event A : A girl grabs a lollipop. Event B : A boy grabs a fruit chew. a. 0.072 c. 0.056 b. 0.051 d. 0.070
Transcript text: 7. In how many ways can you arrange 5 of the c. 120 d. 35 9. In how many ways can you arrange all the numerals 1 through 5 ? a. 24 c. 15 b. 120 d. 25 10. Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players? a. 120 c. 24 b. 15,120 d. 362,880 11. Players on a soccer team wear jerseys numbered 1 through 15. In how many different ways could you arrange 10 of the players, if the position does not matter? a. $1,860,480$ c. 3003 b. 15,504 d. 53,130 12. Your shirt drawer contains 8 different colored shirts that you will wear once over the next 8 days. What is the probability that you will randomly choose the orange shirt to wear today and the red shirt to wear tomorrow? a. $\frac{1}{8}$ c. $\frac{1}{56}$ b. $\frac{1}{16}$ d. $\frac{1}{4}$ 13. You spin a spinner with 5 equal spaces and roll 6 -sided die. How many possible outcomes are in the sample space? a. 11 c. 12 b. 30 d. 1 14. A girl and a boy each randomly grab a piece of candy from a bowl containing 9 pieces of chocolate, 7 fruit chews, 9 lollipops, and 9 peppermints. Find the probability that both events $A$ and $B$ will occur. Event $A$ : A girl grabs a lollipop. Event $B$ : A boy grabs a fruit chew. a. 0.072 c. 0.056 b. 0.051 d. 0.070
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Solution

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Solution Steps

Step 1: Identify the first three questions

The first three questions in the list are:

  1. Question 7: In how many ways can you arrange 5 of the ... (options provided).
  2. Question 9: In how many ways can you arrange all the numerals 1 through 5?
  3. Question 10: Players on a volleyball team wear jerseys numbered 1 through 9. In how many different ways could you arrange 5 of the players?
Step 2: Solve Question 7

Question 7 is incomplete, but based on the options provided, it seems to be asking for the number of ways to arrange 5 items. The correct answer is likely \( 120 \), which corresponds to option c.

Step 3: Solve Question 9

Question 9 asks for the number of ways to arrange all the numerals 1 through 5. This is a permutation problem where we arrange all 5 distinct items. The number of ways is given by \( 5! = 120 \). The correct answer is option b.

Step 4: Solve Question 10

Question 10 asks for the number of ways to arrange 5 players out of 9. This is a permutation problem where we select and arrange 5 out of 9 distinct items. The number of ways is given by \( P(9, 5) = \frac{9!}{(9-5)!} = 15,120 \). The correct answer is option b.

The remaining questions are not addressed as per the guidelines.

Final Answer

  1. For Question 7: \( \boxed{120} \)
  2. For Question 9: \( \boxed{120} \)
  3. For Question 10: \( \boxed{15,120} \)
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