4 (a) Given that { }^{n} \mathrm{P}_{r}={ }^{n-2} \mathrm{P}_{r}, express n in terms of r. Diberi { }^{n} \mathrm{P}_{r}={ }^{n-2} \mathrm{P}_{r}, ungkapkan n dalam sebutan r .

{ }^{n} \mathrm{P}_{r}={ }^{n-2} \mathrm{P}_{r}

This is another interesting question, because based on the following equation, there is no way the following relation can be true in a â€śphysical senseâ€ť. This is because arranging n objects in r ways can NEVER be equal to arranging (n-2) objects in r ways. I will prove why in the following calculations.

**Solution:**

Assuming we run the simplifications using the fundamental principles, we found out that n is smaller than r, which cannot be true in a physical sense : Imaging arranging 3 objects in 8 different ways, how can this be true?

Nevertheless, let me know if the answer is different, or if there is a typo.

Yeahh It canâ€™t be trueâ€¦now I understand.your answer is also correct Thank you very much