A family is taking a picture, with everyone in the family standing in a row. In the family, there are two sets of twins. In how many ways can the 9 people in the family be arranged such that nobody is sitting next to their twin?

Correct  342,720 ways

Step-by-step explanation:

If the number of members of the input set is equal to the number of members of the changing string then we use permutations.

First, we will calculate the total number of ways that nine people in the family can be arranged, that number is 9!

Next, we will calculate the number of ways when the twins sit side by side,

that number is 7! · 2! · 2!

When we subtract this number from the total number we will get the required number of ways when the twins do not sit side by side.

9! - 7!· 2! · 2! = 9 · 8 · 7! - 7!· 2! · 2! = 7! ( 72 - 4) = 7! · 68 = 5,040 · 68 =

342,720 ways

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step-by-step explanation:

the answer is 89 d

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step-by-step explanation: