Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
939 views
in Combinations by (44.0k points)
closed by

Find the number of ways of dividing 20 objects into three groups of sizes 8, 7, and 5.

1 Answer

+1 vote
by (44.0k points)
selected by
 
Best answer

First we can select 8 objects our of 20 for the first group in 20C8ways.

Now there are 12 objects left out of which we can select 7 objects for the second group in 12C7 ways.

Remaining 5 objects can be selected for the third group in 5C5 ways.

∴ Required number of ways = 20C8 × 12C7 × 5C5

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...