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2004 AMC 12A Question 4

AMC12 · 2004 AMC 12A

Question 4

Bertha has $6$ daughters and no sons. Some of her daughters have $6$ daughters, and the rest have none. Bertha has a total of $30$ daughters and granddaughters, and no great-granddaughters. How many of Bertha’s daughters and granddaughters have no daughters?
  1. $22$
  2. $23$
  3. $24$
  4. $25$
  5. $26$