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MathematicsComplex NumbersMedium

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ظلل في ورقة الإجابة الدائرة التي تحتوي على الحرف (ص) للإجابة الصحيحة والحرف (خ) للإجابة الخطأ بحسب رقم الفقرة لكل مما يأتي: درجة لكل فقرة.

1) ( ) إذا كان $|z| = 5$ ؛ فإن $z \cdot \overline{z} = 25$

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Step by Step Written Solution

1
Step 1

Let's solve question number nine from this exam paper. The question asks for the number of ways to arrange eight students in a row such that a specific student always sits at the beginning of the row.

Question 9 Solution

Arrangement of 8 students in a row with 1 specific student fixed at the start.

2
Step 2

When we arrange students in a row, the total number of positions is eight. However, the problem specifies that a particular student must occupy the first seat.

Pos 1
3
Step 3

Since the first position is reserved for that one specific student, there is only one choice for the first seat.

4
Step 4

Now, we have seven students remaining to be arranged in the remaining seven seats.

$$Remaining\ seats = 8 - 1 = 7$$
$$Remaining\ students = 8 - 1 = 7$$

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About This Question

Subject
Mathematics
Topic
Complex Numbers
Difficulty
Medium
Question Type
True or False

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