Brenna is getting a band together. There are 10 possible drummers and 2 lead singers to choose from. For the bassist, Brenna has 4 options. How many different bands can Brenna create?

A band knows how to play 10 different songs. How many different 2-song set lists could the band perform at their next concert?

A performing arts center is holding elections for the new board of directors. If there are 4 different positions open on the board and 5 people want to be considered, how many different ways are there to fill the positions?

Five country music bands and 2 rock bands are signed up to perform at an all-day festival. How many different orders can the bands play in if the following conditions apply?

In a school orchestra, there are 36 violinists, 48 cellists, and 60 flutists. If the conductor wants to create small ensembles where each ensemble has an equal number of the same type of instrument, what is the maximum number of musicians that can be in each ensemble?

Answer the questions below.(If necessary, consult a list of formulas.)(a) How many different committees of size 4 can be formed from 14 people?(b) From the 12 albums released by a musician, the recording company wishes to release 9 in a boxed set. How many different boxed sets are possible?