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Question:
a man has six friends find in how many ways can he invite two or more to his birthday party
Answer:

He can invite any two friend in 6C2 ways, any three friends in 6C3 ways, any 4 friends in 6C4 ways, any 5 friends in 6C5 ways and all the 6 friends in 6C6 ways.

Total number of ways = 6C2 + 6C3 + 6C4 + 6C5 + 6C6

                              = 15 + 20 + 15 + 6 + 1

                              = 57
 

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