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In three sets Q, R and S, the following conditions are found.
In Q R ∩ there are 9 elements.
In Q S ∩ there are 4 elements.
In R S ∩ there are 11 elements.
If (QR QS RS ∩ ∪ ∩∪ ∩ ) ( ) ( ) includes 18 elements, how many
elements are in QRS ∩ ∩ ?

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  1. I've never seen reverse Polish notation used like this.
    Most people write R∩S instead of RS∩
    Your notation makes it quite unclear what
    QR QS RS ∩ ∪ ∩∪ ∩ ) ( ) ( )
    means.

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  2. In three sets Q, R, and S, the following conditions are found: in Q intersect R. there are 9 elements in Q intersect S, there are 4 elements in R intersect S, there are 11 elements if (Q Intersect R) union (Q Intersect S) union (R intersect S) includes 18 elements, how many elements are in Q intersect R intersect S?

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