By : Rizki Yudhi Pratiwi
10305144020
MATEMATIKA SWADANA 2010
(http://akuyudhipblg.blogspot.com/)


The INDONESIAN CITIZEN becomes the victim of the earthquake and tsunami in Japan consists of 41 people who will be split into 5 groups of refugees, i.e. 20 people in Sanjo Junior High School, 7 people in Sendai Mosque, 8 people in Kunimi Elementary School, 4 people in Tatemachi Elementary School, and 2 people in Kimachi Elementary School. How many ways to form such groups?
Answer :
Sanjo Junior High School =C_20^41=41!/20!(41-20)!=41!/20!21!=269128937220 ways
Sendai Mosque =C_7^41=41!/7!(41-7)!=41!/7!34!=22481940 ways
Kunimi Elementary School =C_8^41=41!/8!(41-8)!=41!/8!33!=95548245 ways
Tatemachi Elementary School =C_4^41=41!/4!(41-4)!=41!/4!37!=202540 ways
Kimachi Elementary School =C_2^41=41!/2!(41-2)!=41!/2!39!=820 ways