#### Answer

11

#### Work Step by Step

We label the coins as: n, n, d, h
Case1: select 1 coin: n, d, h (3 ways)
Case:2 select 2 coins: nn, nd, nh, dh (4 ways)
Case3: select 3 coins: nnd, nnh, ndh (3 ways)
Case4: select 4 coins: nndh (1 way)
In total there are 11 ways to select one or more coins.