# If there are 7 bands and 3 floats, in how many different ways can they be arranged?

If there are 7 bands and 3 floats, in how many different ways can they be arranged?
You can still ask an expert for help

## Want to know more about Probability?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

2abehn

total of 10 items they can be arranged in $10!$ ways but, 7 bands are identical, so there would be no change if they are arranged in any way, similarly with 3 floats.
Hence total number of ways $=\frac{10!}{7!×3!}=8×9×\frac{10}{6}=120$ ways.