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Some Reals Sum Two (Posted on 20080901) 

Determine all possible real quadruplet(s) (P, Q, R, S) with P ≤ Q ≤ R ≤ S that satisfy this system of equations:
P + Q*R*S = 2, and:
Q + R*S*P = 2, and:
R + P*Q*S = 2, and:
S + P*Q*R = 2.

Submitted by K Sengupta

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Solution:

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(P,Q,R,S) = (1,1,1,1) and (1,1,1,3).
EXPLANATION:
Refer to the methodologies submitted by Daniel and Steve Herman in the first two comments.

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