Question

You are sending your friend a coded message by rearranging the letters in the word “STRIKE.” That is, your code can be any arrangement of the letters in the word “STRIKE” except one, “S-T-R-I-K-E.”

How many different ways can you code your message?
A) 720
B) 719
C) 120
D) 119

Answer 1

Hi
It is N!-1 so 6!-1=719

Answer 2

Option B) 719 ways

Explanation:

Given that you are sending your friend a coded message by rearranging the letters in the word “STRIKE.” That is, your code can be any arrangement of the letters in the word “STRIKE” except one, “S-T-R-I-K-E.”

This means any code we can send using the given letters without strike.

There are 6 different letters and order matters for coding i.e. st is different from ts

Hence no of ways of arranging strike in different ways

`= 6!= 6*5*4*3*2*1\\= 720`

We must subtract the arrangement strike from this as strike is not allowed.

Hence total number of different ways we code this message

=720-1 =719 ways