Water is filling a pool such that the number of gallons, g, that are in the pool is proportional to the number of minutes, m, the pool has
been filling. If 335 gallons of water are in the pool after 5 minutes,
then which expression below gives the number of gallons in the
pool after 14 minutes?
9=
- 336 + 14
Og= 14 (5) + 335
o
g=
14(335)
5
9=
5(335)
14

step-by-step explanation:

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."