The 6 members of an executive committee want to call a meeting. Each of them phones 6 different people, who in turn each calls 6 other people. If no one is called more than once, how many people will know about the meeting?
(A) 18
(B) 36
(C) 216
(D) 252
(E) 258
The 6 members of an executive committee want to call a meeting. Each of them phones 6 different
people, who in turn each calls 6 other people. If no one is called more than once, how many people will know about the meeting?
(A) 18
(B) 36
(C) 216
(D) 252
(E) 258

## Solution

If 6 people each call 6 other people in the first round of calls, there will be 36 people making 6 calls each for an additional 216 calls. Altogether, there will be the original 6 , followed by 36 who in turn phone another 216.

In total, there are $6+36+216=258$.

ANSWER: (E)