Which of the following regular expressions denotes a language comprising all possible strings over the alphabet {a, b } ?
A.  a* b* 
B.  (a  b)* 
C.  (ab)^{+} 
D.  (a  b*) 
Option: B Explanation : Click on Discuss to view users comments. 
An FSM (Finite State Machine) can be considered to be a TM (Turing Machine) of finite tape length
A.  without rewinding capability and unidirectional tape movement. 
B.  rewinding capacity, and unidirectional tape movement 
C.  without rewinding capability and bidirectional tape movement 
D.  rewinding capability and bidirectional tape movement 
Option: A Explanation : Click on Discuss to view users comments. 
Palindromes can't be recognized by any FSM because
A.  FSM can't remember arbitrarily large of information 
B.  FSM can't deterministically fix the midpoint 
C.  even if midpoint is known, FSM be can't be found whether, second half of the string matches the first half 
D.  all of these 
Option: D Explanation : Click on Discuss to view users comments. 
If ∑ = {a, b, c, d, e, f } then number of strings in ∑ of length 4 such that no symbol is used more than once in a string is
A.  35 
B.  360 
C.  49 
D.  720 
Option: B Explanation : Here string length is 4 so we can create string of length 4 by 6 values. Suppose at first place we can arrange any value by 6 methods.so 6. then Remaining total numbers are 5 so we can arrange them by 5 methods at second place. then remaining total numbers are 4 so we can arrange them by 4 methods. now remaining total numbers are 3 and we can arrange them by 3 methods. so according to permutation technique. We multiply them i.e. 6*5*4*3=360. So, 'B' Click on Discuss to view users comments. arti gaikawad said: (10:54am on Sunday 3rd March 2013)
can u just explain me what is logic or formula used for this solution
Deepak said: (3:01am on Tuesday 5th March 2013)
wat is d logic behind this??
richa said: (2:19am on Sunday 14th April 2013)
this answer comes out... 6!c(64!)*4!
vikki gound said: (12:09pm on Thursday 23rd May 2013)
thus answer of given question is total no of string=6!=720and length of each string=64=2 then we calculate length of string=(6c2)*4!=15*24=360so total length=720360=360
