Respuesta :

Answer:

12

Step-by-step explanation:

each letter can be used with each other 3 times and there are 4 letters so 12

Following are the calculation to the 2-letter combinations:

Given:

Please fine the question.

To find:

2-letter combinations

Solution:

Using formula:

[tex]^{n}{C_{r}} =\frac{n!}{r!(n-r)!}[/tex]

putting the value into the above formula:

[tex]n=4\\\\r=2[/tex]

[tex]\bold{^{4}{C_{2}} =\frac{4!}{2!(4-2)!}}[/tex]

       [tex]\bold{=\frac{4!}{2!(2)!}}\\\\\bold{=\frac{4\times 3 \times 2 \times 1}{2 \times 1 \times 2 \times 1 }}\\\\\bold{=\frac{4\times 3 \times 2 \times 1}{4}}\\\\\bold{=\frac{ 3 \times 2 \times 1}{1}}\\\\\bold{=6}\\\\[/tex]

Therefore, the final answer is "Option b".

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