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Problem
A person wants to invite one or more of his friends for a dinner party. In how many ways can he do so if he has eight friends :- (A)
2
8
2^8
2
8
(B)
2
8
−
1
2^8 - 1
2
8
−
1
(C)
8
2
8^2
8
2
(D)
8
C
1
+
8
C
2
+
⋯
+
8
C
8
{}^8C_1 + {}^8C_2 + \dots + {}^8C_8
8
C
1
+
8
C
2
+
⋯
+
8
C
8
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