A) 84
B) 360
C) 504
D) None of these
Correct Answer: C
Solution :
First, arrange 8 blue alike bottles, number of ways \[=1\] Now, select one gap out of nine gaps created to put two green bottles; number of ways \[={{\,}^{9}}{{C}_{1}}\] Now, select five more gaps for other green bottles from remaining eight gaps; number of ways \[={{\,}^{8}}{{C}_{5}}\] Hence, total number of ways \[={{\,}^{9}}{{C}_{1}}{{.}^{8}}{{C}_{5}}=9.\frac{8.7.6}{1.2.3.}=72.=504\]You need to login to perform this action.
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