A lunar mission is made up of \(x\) astronauts and is formed from a total of \(12\) astronauts. A day before the launch

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A lunar mission is made up of \(x\) astronauts and is formed from a total of \(12\) astronauts. A day before the launch the commander of the program decides to add \(p\) astronauts to the mission. If the total number of possible lunar missions remain unchanged after the commander’s decision, then which of the following cannot be the value of \(p?\)

(A) \(x\)
(B) \(x + 3\)
(C) \(3\)
(D) \(6\)
(E) \(8\)

Answer: C

Source: Magoosh
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