Juan bought 16 plants to arrange along the border of his garden. how many distinct arrangements can he make if the plants are comprised of 6 tulips, 6 roses, and 4 daisies?

Total number of distinct arrangements=1681680

Step-by-step explanation:

We know that when we arrange n items out of which a items are similar,b items are similar such that a+b=n

then the formula for number of arrangements is given by:

Here, total 16 things are to be arranged

out of which 6 are similar(tulips)

other 6 are similar(roses)

and other 4 are similar(daisies)

(Also 6+6+4=16)

Number of arrangements=

                                         = 1681680

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.