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counting and probability senior

Problem

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 grand-daughters have no daughters?
(A)
(B)
(C)
(D)
(E)
Solution
Since Bertha has daughters, she has granddaughters, of which none have daughters. Of Bertha's daughters, have daughters, so do not have daughters. Therefore, of Bertha's daughters and granddaughters, do not have daughters.
Final answer
E