Perms and Coms (1 Viewer)

[moderntortoisecat]

Hi help with this question would be greatly appreciated

How many words are possible using four letters which are selected from the letters of the word syllabus?

Thank you!

 

[wizzkids]

There are 70 ways to select 4 members from a set of 8. However not all of these are proper words.
I can find 19 words that are proper words in the English language (not counting repeats like "labs"):
slay
subs
Susy
Yass
lass
lays
labs
ally
ably
bays
ball
bass
buys
bull
busy
slab
slay
Saul
says

 

[gmenoza]

P(8,4)=8!/(8-4)!=8!/4!

= 8×7×6×5/4x3x2x1=70

• n=8 (total number of letters in "syllabus")
• r=4 (number of letters we want to select)

 

[liamkk112]

P(8,4)=8!/(8-4)!=8!/4!

= 8×7×6×5/4x3x2x1=70

• n=8 (total number of letters in "syllabus")
• r=4 (number of letters we want to select)

careful of repeated letters