How many "words" can be formed using all of the letters of the word SHRINKS if S must be directly in front of H

SHRINKS has 7 letters

If you count 'SH' (only one 's' is counted) as one unit then you get 6 letters aka 6!
6*5*4*3*2*1 = 720
Therefore there are 720 possible 'words'

I can't think of any. Sorry.

Well, it seems like the word SHRINKS just can't shrink itself down any further! When S must be directly in front of H, there's only one possible arrangement: SH. So, we can say that only one "word" can be formed using all the letters of SHRINKS when S must be directly in front of H. Now that's a tiny word, isn't it?

To find the number of words that can be formed using all the letters of the word SHRINKS, with the condition that S must be directly in front of H, we can start by considering the positioning of S and H.

Since S must be directly in front of H, the two letters can be treated as a single block:

(SH) _ _ _ _ _

Now, we can treat the block (SH) as a single letter and arrange it with the remaining letters (RNKIR), as well as the additional letter S.

We have a total of 6 letters (SH, R, N, K, I, S) to arrange.

Using the concept of permutations, the total number of words can be calculated as:

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

Therefore, the number of words that can be formed using all the letters of the word SHRINKS, with the condition that S must be directly in front of H, is 720.

To find the number of "words" that can be formed using all of the letters of the word SHRINKS, with S directly in front of H, we can follow these steps:

1. Determine the total number of ways to arrange the letters without any restrictions. The word SHRINKS has 7 letters, so there are 7! (7 factorial) ways to arrange them.
- 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

2. Consider S and H as a single entity, SH, since they must always be together. Now we have 6 entities: SH, R, I, N, K, S.
- The number of ways to arrange these 6 entities is 6! (6 factorial).
6! = 6 x 5 x 4 x 3 x 2 x 1 = 720

3. Within the SH entity, there are 2 different ways to arrange S and H.
- S can be placed before H: SH
- H can be placed before S: HS

4. Multiply the number of ways to arrange the remaining 6 entities (720) by the number of ways to arrange the SH entity (2).
- 720 x 2 = 1,440

Therefore, there are 1,440 "words" that can be formed using all of the letters of the word SHRINKS, with S directly in front of H.