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Colbert said he's \"thrilled\" to be joining the program next year. Letterman also expressed enthusiasm.

\"With a situation like this, Paul [Shaffer] and I have been doing this for a long time,\" Letterman said, \"and they could have just as easily hired another boob like me, but they didn't. They hired a guy--\"

\"They hired a boob like me,\" Colbert said. \"Every boob is like a snowflake, Dave. We're all unique in our own way.\"

The two also posed for a selfie together, a celebration of current and future \"Late Show\" hosts.

#boobs pic.twitter.com/bPKXOII4Vc

— Stephen Colbert (@StephenAtHome) April 23, 2014

\"Good Morning America\" co-anchor Robin Roberts also appeared on the program, discussing the medical obstacles she's faced and overcome. Roberts survived breast cancer and was later diagnosed with myelodysplastic syndrome or MDS, a rare blood disorder.

WATCH: Robin Roberts Visits the \"Late Show\"

She underwent a bone marrow transplant in 2012, receiving donor cells from her sister, Sally Ann. Those experiences are documented in her new book, \"Everybody's Got Something.\"

Roberts told Letterman Tuesday that she's happier and healthier than she’s ever been.

\"You face the challenge and the fight in front of you, and I wouldn't change a thing,\" she said.

The Associated Press contributed to this report.

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