1. Suppose 1 discovered that my cat had a taste for the adorable little geckoes that live in the bushes and vines in my yard. In one month, suppose he deposited the following in my carpet: 6 gray...

Solve using the concept of counting techniques and application of venn diagram.

Extracted text: 1. Suppose 1 discovered that my cat had a taste for the adorable little geckoes that live in the bushes and vines in my yard. In one month, suppose he deposited the following in my carpet: 6 gray geckoes, 12 geckoes that had dropped their tails in an effort to escape, and 15 geckoes that he'd chewed on a little, only 1 of the geckoes was gray, chewed on and tailless, 2 were gray and tailless but not chewed on; 2 were gray and chewed on but not tailless. If there were a total of 24 geckoes left on my carpet, how many were tailless and chewed on but not gray?