Given:
[tex]\begin{gathered} O=\lbrace b,e,d\rbrace \\ P=\lbrace b,i,d\rbrace \\ Q=\lbrace b,u,d\rbrace \end{gathered}[/tex]Required:
To find the intersections of O, P, and Q.
Explanation:
The intersection of two sets O,P and Q is the set of all elements which are common.
Here the common elements are b and d.
[tex]\begin{gathered} O\cap P\cap Q=\lbrace b,e,d\rbrace\cap\lbrace b,i,d\rbrace\cap\lbrace b,u,d\rbrace \\ \\ =\lbrace b,d\rbrace \end{gathered}[/tex]Final Answer:
[tex]O\cap P\cap Q=\lbrace b,d\rbrace[/tex]