Guests at a winter-themed party were served snowball cookies, snowman cookies, and snowflake cookies. All of the guests who ate snowball cookies also ate snowman cookies. Three-fourths of the snowball eaters did not also eat snowflake cookies. There were six guests who ate snowflakes and snowmen. Of the snowflake-eaters who did not eat snowballs, half of them ate snowmen. Eighty percent of all the guests ate the snowman cookies. One guest was on a health kick and ate none of the cookies. If there were more than 20 guests and less than 30 guests at the party, how many guests ate snowman cookies but did not eat snowball cookies or snowflake cookies?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Guests at a winter-themed party were served snowball cookies, snowman cookies, and snowflake cookies. All of the guests who ate snowball cookies also ate snowman cookies. Three-fourths of the snowball eaters did not also eat snowflake cookies. There were six guests who ate snowflakes and snowmen. Of the snowflake-eaters who did not eat snowballs, half of them ate snowmen. Eighty percent of all the guests ate the snowman cookies. One guest was on a health kick and ate none of the cookies. If there were more than 20 guests and less than 30 guests at the party, how many guests ate snowman cookies but did not eat snowball cookies or snowflake cookies?
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