C++ displaying the wrong object

Question

I am a beginner in C++ and I am trying to create 2 classes that stores Movie for each Day.
For example, there are 2 movies on saturday. One of the movie is Batman and the other is Spiderman. So the object Day saturday should store 2 different movies. However, the problem is when I tried to display the object stored in saturday with the function showAllMovies() within the class Day, it showed the last movie only. Any idea what I have done wrong?

EDIT: I can only use these libraries since my assignment won't allow me to use other libraries.

<iostream>, <iomanip>, <fstream>, <cmath>

#include <iostream> 
using namespace std;

class Movie {
private:
    char* name;
public:
    void setName(char* n) {
        name = n;
    }
    char* getName() {
        return name;
    }
};

class Day {
private:
    int movieCount = 0;
    Movie movie[20];
public:
    void addMovie(Movie p) {
        movie[movieCount] = p;
        movieCount++;
    }
    void showAllMovies() {
        for (int i = 0;i < movieCount;i++) {
            cout << "Index: " << i << ", Name: " << movie[i].getName() << endl;
        }
    }
};

int main()
{
    Day saturday;
    int numOfMovies = 0;

    cout << "Input the number of Movies: " << endl;
    cin >> numOfMovies;

    cout << "Input the name of Movie: " << endl;
    for (int i = 0;i < numOfMovies;i++) {
        char movieName[10];
        //Get input
        cin >> movieName;
        Movie m;
        m.setName(movieName);
        saturday.addMovie(m);

    }

    //Show all the name of movies
    cout << "All movies on saturday: " << endl;
    saturday.showAllMovies();

    return 0;
}

Input: 2 Batman Spiderman

Output:

I am expecting to get something like

All movies on saturday:
Index: 0, Name: Batman
Index: 1, Name: Spiderman

Thanks to everyone helping me out. The Solution is to change

char movieName[10];

to

char *movieName = new char[10];

Answer 1

for (int i = 0;i < numOfMovies;i++) {
        char movieName[10];
        //Get input
        cin >> movieName;
        Movie m;
        m.setName(movieName);
        saturday.addMovie(m);

    }

when you call setName internally you make name (which is field of Movie object) point to movieName - however, movieName dies on the next iteration of the for loop due to scope.

The last instance of movieName should also not be accessed after the loop ends.