Question

There are 5 people in the Brass Ensemble, and
each person plays a different instrument. All of the
musicians want to play a piece with someone who
plays a different instrument. The instruments are
Trombone, Cornet, Sousaphone, French Horn
and Tuba. Which list contains all the instrument
combinations?

Answer 1

Answer:

T C, T S, T F, T U, C S, C F, C U, S F, S U, F U

Answer 2

Possible combinations of instruments are 10.

They are (TR, CO) , (TR, SO) , (TR, FH) , (TR, TU), (CO, SO), (CO, FH), (CO, TU), (SO, FH) , (SO, TU) and (FH, TU).

What are combinations?

"Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter."

According to the question

There are 5 people in the Brass Ensemble.

Each person plays a different instrument.

All of the musicians want to play a piece with someone who plays a different instrument.

So, every musician get a chance to play two different instruments

Number of instruments = 5

The different possible combinations of instruments are

= 5 × 2

= 10

Those possible combinations are

1. Trombone and Cornet

2. Trombone and Sousaphone

3. Trombone and French Horn

4. Trombone and Tuba

5. Cornet and Sousaphone

6. Cornet and French Horn

7. Cornet and Tuba

8. Sousaphone and French Horn

9. Sousaphone and Tuba

10. French Horn and Tuba

Hence, Possible combinations of instruments are 10.

They are (TR, CO) , (TR, SO) , (TR, FH) , (TR, TU), (CO, SO), (CO, FH), (CO, TU), (SO, FH) , (SO, TU) and (FH, TU).

Learn more about possible combinations here

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