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April has four different basil plants and four different tomato plants. In how many ways can she arrange the plants in a row if she puts all the tomato plants next to each other?

Respuesta :

well you have to multiply 4 times 4 because you have 4 tomatoe plants and 4 basil plants so you just multiply 4×4

The total no. of different arrangements of plants is 5!=120.

Concept of Permutation

Suppose if we had 4 plants, then the total no. of different ways through which it can be arranged in a row is 4!=4.3.2.1

{This simply means first position has 4 options, second has 3 options and so on}

Now In this question, considering the given condition there are :

4 different basil plants and 1 group(4 tomato plants) {As they need to stay together}

So there are 5 different entities

Therefore the total no. of arrangements are 5!=5.4.3.2.1

Therefore in 120 different ways she can arrange given plants in a row.

To practice more such problems refer:https://brainly.com/question/2141779

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