Birds in queue

Discrete Mathematics Level 5

There are 10 birds sitting on a wire in queue. A hunter has 3 bullets in his rifle. Each time he shoots a bird, the adjacent bird(s) next to it flies away.

In how many orders the hunter can shoot three birds?

Details and Assumptions:

  • The hunter shoots exactly 3 times.

  • You can assume that he doesn't miss.

  • Shooting orders means the pattern he is shooting three birds. For example, counting from the left he can shoot the 5th bird first, then 1st bird & then maybe 10th bird. That's one of the orders.


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