In an examination , a candidate has to pass in each of the 5 subjects.In how many ways can he fail ?

(FRIENDS PLEASE EXPLAIN WITH PROPER EXPLANATION)

• possibility of being fail-
  5C5+5C4+5C3+5C2+5C1=31
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• Total number of ways in which he can fail is
  
  = C(5, 1) + C(5 2) + C(5, 3) + C(5, 4) + C(5, 5)
  = 5+10+10+5+1
  = 31
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• In how many ways can he pass?????
  ans- C(5,5) ????
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