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Da Shari wants to rearrange the four sweaters, two coats, and five jackets that are in her closet. If she puts a sweater first and a jacket last, how many diferent ways can she arrange them?

Respuesta :

Answer: There is 362880 ways she can arrange them.

Step-by-step explanation:

Since we have given that

Number of sweaters she has = 4

Number of coats she has = 2

Number of jackets she has = 5

According to question, we have asked to put sweater first, and a jacket last,

So, remaining items will be

[tex]11-(1+1)\\\\=11-2\\\\=9[/tex]

So, we will use "Fundamental Theorem of Counting " as arrangement is needed:

So, it becomes,

[tex]1\times 9!\times 1\\\\=9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1\\\\ =362880\ ways[/tex]

Hence, there is 362880 ways she can arrange them.

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