A) 252
B) 672
C) 444
D) 420
E) 250
Correct Answer: A
Solution :
Total number of ways \[{{=}^{8}}{{C}_{3}}{{\times }^{4}}{{C}_{3}}{{+}^{8}}{{C}_{2}}{{\times }^{4}}{{C}_{4}}\] \[=\frac{8!}{3!5!}\times \frac{4!}{3!1!}+\frac{8!}{2!6!}\times 1\] \[=56\times 4+28=224+28=252\]
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