• YOU can help the next generation of students in the community!
    Share your trial papers and notes on our Notes & Resources page

Perms question (1 Viewer)

enigma_1

~~~~ Miss Cricket ~~~~
Joined
Feb 27, 2013
Messages
4,281
Location
Lords
Gender
Female
HSC
2014
In morse code, letters are formed by a sequence of dashes and dots. How many different letters is it possible to represent if a maximum of ten symbols are used?

Show working, thanks


ANSWER: 2046
 

HSC2014

Member
Joined
Jul 30, 2012
Messages
399
Gender
Male
HSC
N/A
Consider the cases where 1,2,3...10 symbols are used:
2 + 2^2 + 2^3 + ... + 2^10 = 2046
 

hit patel

New Member
Joined
Mar 14, 2012
Messages
568
Gender
Male
HSC
2014
Uni Grad
2018
Yes this is a Cambridge question right? It basically what HSC 2014 said. This is because there are 10 ways that the sequences can be arranged in which there are 10 exponential possibilities and there are 2 possibities of the symbol.
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top