How many 3 letter words can be made from the word triangle?

• ale, ail, ant, ate, air, age
• ear, era
• gin, gel, gal, get,
• leg, lag, lit, let, lie
• net, nag
• ran, rag, rig,
• ten, tag, tar, tie, tea, til

+ art, eat, ire, nil, nit, rat, rig, tan, tin,