A man has 10 friends. In how many ways he can invite one or... | MATH - DEFINITON OF COMBINATIONS, CONDITION COMBINATIONS, DIVISION INTO GROUPS, DERANGEMENTS | SolveeIt | Solveeit

Today, August 18

Question

A man has 10 friends. In how many ways he can invite one or more of them to a party

A

10 !

B

$2^{10}$

C

$10! - 1$

D

$2^{10} - 1$

Answer

$2^{10} - 1$

Explanation

Solution

Required number of friend = $2^{10} - 1$ (Since the case that no friend be invited i.e., $10C_{0}$ is excluded)