Let \[{{E}_{1}},{{E}_{2}},{{E}_{3}}\]be three arbitrary events of a sample space S. Consider the following statements which of the following statements are correct [Pb. CET 2004]

• A.                 P (only one of them occurs)         \[=P({{\bar{E}}_{1}}{{E}_{2}}{{E}_{3}}+{{E}_{1}}{{\bar{E}}_{2}}{{E}_{3}}+{{E}_{1}}{{E}_{2}}{{\overline{E}}_{3}})\]
• B.             P (none of them occurs)                 \[=P({{\overline{E}}_{1}}+{{\overline{E}}_{2}}+{{\overline{E}}_{3}})\]          
• C.                 P (at least one of them occurs)                 \[=P({{E}_{1}}+{{E}_{2}}+{{E}_{3}})\]
• D.                 P (all the three occurs)\[=P({{E}_{1}}+{{E}_{2}}+{{E}_{3}})\]                 where \[P({{E}_{1}})\]denotes the probability of \[{{E}_{1}}\] and \[{{\bar{E}}_{1}}\] denotes complement of \[{{E}_{1}}\].