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From a group of seven people – $\text{J, K, L, M, N, P}$ and $\text{Q}$ – exactly four will be selected to attend a diplomat’s retirement dinner. Selection must conform the following conditions:

  1. Either $\text{J}$ or $\text{K}$ must be selected, but $\text{J}$ and $\text{K}$ cannot both be selected
  2. Either $\text{N}$ or $\text{P}$ must be selected, but $\text{N}$ and $\text{P}$ cannot both be selected
  3. $\text{N}$ cannot be selected unless $\text{L}$ is selected
  4. $\text{Q}$ cannot be selected unless $\text{K}$ is selected

If $\text{P}$ is not selected to attend the retirement dinner, then exactly how many different groups of four are there each of which would be an acceptable selection?

  1. one
  2. two
  3. three
  4. four
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