There are 12 cans in the refrigerator. 7 of them are red and 5 of them are blue. In how many ways we can remove 8 cans

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There are 12 cans in the refrigerator. 7 of them are red and 5 of them are blue. In how many ways we can remove 8 cans so that at least one red and at least one blue can remain in the refrigerator?

(A) 460
(B) 490
(C) 493
(D) 455
(E) 445

Answer: D

Source: GMAT Club Tests
Source: — Problem Solving |