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You are making a necklace with a clasp for your friend, using 10 beads. There are 4 striped beads, 4 polka-dotted beads, and 2 flowered beads.

What is the total number of linear permutations of the beads?

Respuesta :

jongdae21
I believe you have to input 10P10 into your calculator, as you are searching for different ways to arrange 10 beads out of 10 beads. 3628800
JeanaShupp

Answer: 3150

Step-by-step explanation:

Given: The total number of beads: 10

Number of striped beads =4

Number of polka bead =4

Number of flowered beads = 2

We know that the number of permutations of n things if [tex]n_1, n_2,.....n_k[/tex] are repeated items is given by :-

[tex]P=\dfrac{n!}{n_1!n_2!......n_k!}[/tex]

Similarly, the total number of linear permutations of the beads will be :_

[tex]P=\dfrac{10!}{4!4!2!}=3150[/tex]

Hence, the  total number of linear permutations of the beads =3150

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