Long Answer TypeOn her vacations, Veena visits four cities (A, B, C and D) in a random order. What is the probability that she visits:
(i) A before B? (ii) A before B and B before C?
(iii) A first and B last? (iv) A either first or second (v) A just before B?
Short Answer TypeIn a relay race, there are five teams, A, B, C, D and E.
What is the porbability
(i) that A, B, C finish first, second and third respectively?
(ii) that A, B and C are first three to finish (in any order)?
The number of permutation in which the five teams can finish the race 
The number of points in the sample space S = n(S) = 120.
(i) The number of permutations in which A, B and C come first, second and third respectively
= 
If Event H: A, B, C come first, second and third respectively.
n(H) = 2
Hence, 
(ii) Event K: A, B and C finish first, second and third in any order.
n(K) = 
Hence, 
Letters of the word ‘EDUCATION’ are re-arranged. Find the probability that the vowels are always together.
Also, find the probability that the vowels are not all together.
Long Answer Type
(ii) P(A) = 1 (iii) P(A) = 0
(v) P(A) = 
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Short Answer Type
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