12 Six balls are identical in size ...
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12 Six balls are identical in size ; two are red, two white and two green. In how many different ways can they all be arranged in a circle touching each other? na lincluding the driver's ceat) In how many

JEE/Engineering Exams
Maths
Solution
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( n ) balls can be orcanged ( operatorname{in}(n-1) ! ) ways in cincle. Thus, 6 balls can be arrarped in ( 5 ! ) ways since 2 balls of 3 colowrs are iclentical Ways ( =frac{5 !}{2 times 2 times 2}=frac{1 times 2 times 3 times 4 times 5}{2 times 4 times 7} ) ( =15 ) ways.
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