Hi,

The letters A, B, C, D, and E are arranged in random order. 5! = 120 total ways

6 ways of arranging exactly ABC (3P3) in the string of 5 letters

a) P(letters A, B, and C appear in this particular order) = 6/120 = 1/20

6 ways of arranging exactly ABC (3P3) in the string of 5 letters

 6 ways of ABC in any order: ABC,ACB,BAC, BCA, CAB, CBA

b) P(What is the probability that the letters A, B, and C appear in any

 order) = 

(i.e.ABC, CBA, BCA etc.)

 

 

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