Selfie Science: Permutations and Combinations at the Oscars

During the Oscars ceremony, a famous tech company like Samsung promotes its brand by sponsoring a star-studded selfie. Imagine that the host, holding a Samsung Galaxy phone, wants to take a group selfie with 10 celebrities out of a larger group of 20 attendees. The buzz about how many unique selfies could be created spreads like wildfire, and everyone starts doing the math to calculate the possibilities.

Suppose the Oscars host has the phone in hand and plans to include 10 celebrities in a selfie. The seating arrangement doesn’t matter, but who is included in the selfie does. Out of the 20 celebrities present at the ceremony, how many different groups of 10 can be chosen for this iconic selfie?

Question: How many unique groups of 10 celebrities can be formed from the 20 attendees?

Options:
A) 184,756
B) 92,378
C) 20,030
D) 200

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