8 Children are standing in a line outsid...

8 Children are standing in a line outside a ticket counter at zoo. 4 of them have a 1 rupee coin each & the remaining four have a 2 rupee coin each. The entry ticket costs 1 rupee each. If all the arrangements of the 8 children are random, the probability that no child will have to wait for a change, if the cashier at the tickets window has no- change to start with is `K`. Then `15K` is equal to

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