Question

Number of permutations of 5 distinct objects is:

• A. 25
• B. 60
• C. 120
• D. 720

Hint:

Permutations = Arrangements (Order matters). Combinations = Selections (Order doesn't matter). For 5 objects, there is only 1 way to select them all, but 120 ways to arrange them!

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
A permutation is an arrangement of objects where order matters. For $n$ distinct objects, the total number of ways to arrange them is given by $n!$ (n-factorial).
Step 2: Detailed Explanation:
Here, $n = 5$. Calculation: $5! = 5 \times 4 \times 3 \times 2 \times 1$. $5 \times 4 = 20$ $20 \times 3 = 60$ $60 \times 2 = 120$ $120 \times 1 = 120$
Step 3: Final Answer:
The correct option is (c).