Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the possible values of X? O 0, 1, 2, 3 O 1, 2, 3, 4, ..... O 0, 1, 2, 3, 4, ... O 1, 2, 3, 4 O 0, 1, 2, 3, 4 For the following possible outcomes, give their associated X values. PIN associated value 1239 2302 7500

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### Understanding the Number of Nonzero Digits in a PIN

#### Question
Let \( X \) be the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the possible values of \( X \)?

- ○ 0, 1, 2, 3
- ○ 1, 2, 3, 4, ...
- ○ 0, 1, 2, 3, 4, ...
- ○ 1, 2, 3, 4
- ○ 0, 1, 2, 3, 4

#### Exercise
For the following possible outcomes, give their associated \( X \) values.

| PIN  | Associated Value |
|------|-------------------|
| 1239 |                   |
| 2302 |                   |
| 7500 |                   |

**Explanation:**

In this educational task, you are asked to find the possible values for \( X \), where \( X \) represents the number of nonzero digits within a 4-digit PIN. An analysis of each PIN is required to determine the count of digits that are nonzero.

**Step-by-Step Explanation:**

1. **Identify Nonzero Digits:**
   - For the PIN **1239**: The digits are 1, 2, 3, and 9. Each of these digits is nonzero. Therefore, \( X = 4 \).
   - For the PIN **2302**: The digits are 2, 3, 0, and 2. The nonzero digits are 2, 3, and 2. Therefore, \( X = 3 \).
   - For the PIN **7500**: The digits are 7, 5, 0, and 0. The nonzero digits are 7 and 5. Therefore, \( X = 2 \).

By applying this process for each PIN, you can fill in the table with the associated \( X \) values. 

This exercise helps in understanding the counting of specific types of digits within a set of numbers, enhancing skills in basic arithmetic and logical reasoning.
Transcribed Image Text:### Understanding the Number of Nonzero Digits in a PIN #### Question Let \( X \) be the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on the digits. What are the possible values of \( X \)? - ○ 0, 1, 2, 3 - ○ 1, 2, 3, 4, ... - ○ 0, 1, 2, 3, 4, ... - ○ 1, 2, 3, 4 - ○ 0, 1, 2, 3, 4 #### Exercise For the following possible outcomes, give their associated \( X \) values. | PIN | Associated Value | |------|-------------------| | 1239 | | | 2302 | | | 7500 | | **Explanation:** In this educational task, you are asked to find the possible values for \( X \), where \( X \) represents the number of nonzero digits within a 4-digit PIN. An analysis of each PIN is required to determine the count of digits that are nonzero. **Step-by-Step Explanation:** 1. **Identify Nonzero Digits:** - For the PIN **1239**: The digits are 1, 2, 3, and 9. Each of these digits is nonzero. Therefore, \( X = 4 \). - For the PIN **2302**: The digits are 2, 3, 0, and 2. The nonzero digits are 2, 3, and 2. Therefore, \( X = 3 \). - For the PIN **7500**: The digits are 7, 5, 0, and 0. The nonzero digits are 7 and 5. Therefore, \( X = 2 \). By applying this process for each PIN, you can fill in the table with the associated \( X \) values. This exercise helps in understanding the counting of specific types of digits within a set of numbers, enhancing skills in basic arithmetic and logical reasoning.
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