# Answer the following: Find the number of ways of dividing 20 objects in three groups of sizes 8, 7 and 5 - Mathematics and Statistics

Sum

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

#### Solution

Required number = 20C8 × 12C7 × 5C5

= (20!)/(8!12!) xx (12!)/(7!5!) xx1

= (20!)/(8!7!5!)

Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Miscellaneous Exercise 3 | Q II. (15) | Page 68