Question

Tien is making 5-letter security codes using only the letters M, N, P, Q, and R. She arranges the letters in a different order for each code, using every letter exactly once within each code. How many different codes can she make?

Answer 1

Tien can make 120 different codes.

Step-by-step explanation:

To calculate the number of different codes that can be made using the letters M, N, P, Q, and R, we need to use a concept called permutations. A permutation is an arrangement of objects in a specific order.

In this case, we need to find the number of different 5-letter codes that can be made using the 5 available letters without repetition. This is represented by a permutation of 5 objects taken 5 at a time.

The formula to calculate the number of permutations is n!, where n is the number of objects. So, for this problem, the number of different codes is 5!

5! = 5 × 4 × 3 × 2 × 1 = 120