Question

How many different 4-letter words can be formed from the letters of the word "BINARY" without repetition?

• A. 360
• B. 720
• C. 840
• D. 1260

Hint:

Tip: Permutations without repetition are calculated using \( P(n,r) = \frac{n!}{(n-r)!} \).

Answer 1

The Correct Option is A

Step 1: Count letters  
The word "BINARY" has 6 distinct letters.

Step 2: Number of 4-letter words without repetition  
Number of ways = \( P(6,4) = \frac{6!}{(6-4)!} = \frac{6!}{2!} = \frac{720}{2} = 360 \) 

So the correct answer is (A) 360.