How many different six letter words can be formed using the letters of

1.	How many different six letter words can be formed using the letters of the word ‘PENCIL’ if repetition is not allowed?1. 7002. 7203. 7404. 760
Answer» Correct Answer - Option 2 : 720 Given: PENCIL = 6 letters Repetition is not allowed Formula used: If repetition is not allowed Factorial n! ⇒ n! = n× (n - 1)× (n - 2)× ..........× 2× 1 Calculation: The total numberof letters is 6. Factorial 6 ⇒ 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720. PENCIL can be formed in 720 different ways. ∴ 720 different ways to write PENCIL without repetition.

How many different six letter words can be formed using the letters of the word ‘PENCIL’ if repetition is not allowed?1. 7002. 7203. 7404. 760

Answer» Correct Answer - Option 2 : 720

Given:

PENCIL = 6 letters

Repetition is not allowed

Formula used:

If repetition is not allowed

Factorial n!

⇒ n! = n× (n - 1)× (n - 2)× ..........× 2× 1

Calculation:

The total numberof letters is 6.

Factorial 6

⇒ 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.

PENCIL can be formed in 720 different ways.

∴ 720 different ways to write PENCIL without repetition.