rxs0005 wrote:

LOCAL

Case 1

3 Spaces L x x x L the 3 OCA can be arranged 3! = 6

Case 2

2 spaces L x x L x or x L x x L can 3C2 * 3C2 ways = 9

Case 3

1 Space will be 3 ways

total number of ways will be 6 * 9 * 3 = 162 ways

RC can u please post the OA

rxs, case 1 is good. But there is a problem in your case 2 and case 3.

For case 2:

For L _ _ L _ : You will have 3! ways, not 3C2

LOCLA;

LCOLA

LAOLC

LOALC

LACLO

LCALO

Similarly, for _ L _ _ L : You will have another 3! ways.

Case 3:

It should not be just 3 ways.

You will have:

L _ L _ _ : 3! ways for this arrangement

_ L _ L _ : 3! ways for this arrangement

_ _ L _ L : 3! ways for this arrangement

In the end you need to add all the ways not multiply.

So you get 6(3!) = 6*6 = 36