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Q.

A, B, C are the sets of letters needed to spellthe words STUDENT, PROGRESS and CONGRUENT,respectively. Then n(A∪(B∩C)) is equal to

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a

8

b

9

c

10

d

11

answer is B.

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Detailed Solution

A={D,E,N,S,T,U]B={E,G,O,P,R,S}C={C,E,G,N,O,R,T,U}So A∪(B∩C)={D,E,N,S,T,U}∪{E,G,O,R}={D,E,G,O,N,R,S,T,U}and n[(A∪(B∩C)]=9
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