# A bag has 5 red, 4 blue, and 4 green marbles. If all are drawn one by one and their colours are recorded, how many different arrangements can be found? - Mathematics and Statistics

Sum

A bag has 5 red, 4 blue, and 4 green marbles. If all are drawn one by one and their colours are recorded, how many different arrangements can be found?

#### Solution

There are total of 13 marbles in the bag.
Out of these 5 are Red, 4 Blue, and 4 are Green marbles. All balls of the same colour are taken to be identical.
∴ Required number of arrangements = (13!)/(5!4!4!)

Concept: Permutations When All Objects Are Not Distinct
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.4 | Q 4 | Page 82