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Zach has 53 flowers to plant. He wants to plant them in groups of 10s and 1s Zach can plant 10 flowers in each flower box. he can plant one flower in want pot how many different ways can Zach plant in boxes and pots

Respuesta :

Answer:

5 boxes and three pots

Step-by-step explanation:

Given : Zach has 53 flowers to plant.

           He wants to plant them in groups of 10s and 1s

Solution :

Since there are 53 flowers

He wants to plant them in group of 10s and 1s

So , of 53 flowers There can be 5 groups of 10s and 3 groups of 1s

Since he can plot 10 flowers in each flower box.

So, there are 5 groups of 10s

So, there will be 5 boxes of flowers having 10 fowers each

Since 50 flowers used . 3 flowers left

they can plant one flower in pot

And there are 3 flowers left

So, pots will be 3

So, there will be 5 boxes and three pots

So, the 53 flowers can be arranged by making 5 boxes having 10 flowers in each box and 3 pots having one flower in each pot


MrRoyal

There are 720 different ways the flowers can be planted

The number of flowers is given as:

Flowers = 53

Given that he wants to plant then in 10's and 1's,

  • 50 of the 53 flowers can be planted in 5! ways
  • The remaining 3 can be planted in 3! ways

So, the number of different ways the flowers can be planted is:

[tex]n =5! * 3![/tex]

Evaluate each factorial

[tex]n = 120 * 6[/tex]

[tex]n = 720[/tex]

Hence, there are 720 different ways the flowers can be planted

Read more about permutation and combination at:

https://brainly.com/question/8119212

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