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

answer: 1 and 3

step-by-step explanation: