Ways to Order Different Colored Marbles

Probability Level 2

How many ways can you order 3 blue marbles, 4 red marbles, 5 green marbles, and 2 yellow marbles?


The answer is 2522520.

A Former Brilliant Member by A Former Brilliant Member

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

2 Helpful 0 Interesting 0 Brilliant 0 Confused
Eric Roberts
Feb 24, 2021

N = ( 14 3 ) ⋅ ( 14 − 3 4 ) ⋅ ( 14 − 3 − 4 5 ) ⋅ ( 14 − 3 − 4 − 5 2 ) = 2 , 522 , 520 N = { 14 \choose \color{#3D99F6} 3} \color{#333333}\cdot { 14 - \color{#3D99F6} 3 \choose \color{#D61F06}4} \color{#333333} \cdot { 14 -\color{#3D99F6} 3 -\color{#D61F06}4 \choose \color{#20A900} 5} \color{#333333} \cdot { 14 -\color{#3D99F6} 3 -\color{#D61F06}4 - \color{#20A900} 5 \choose \color{#CEBB00} 2} \color{#333333} = 2,522,520

0 Helpful 0 Interesting 1 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...