A man has 6 friends. No. of different ways he can invite 2 or more for a dinner is

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Solution

Q.
A man has 6 friends. No. of different ways he can invite 2 or more for a dinner is

1 56

2 72

3 28

4 57

Ans.
(4)

$Required number = {}^{6}C_{2} + {}^{6}C_{3} + {}^{6}C_{4} + {}^{6}C_{5} + {}^{6}C_{6}$

$= 15 + 20 + 15 + 6 + 1 = 57$

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