Nhow many ways can the letters in the word spoon be arranged? 24 30 60 120

The number of ways the  letters in the word spoon be arranged is:

                                60

Step-by-step explanation:

We have to find the number of ways the letter in the word

                    SPOON

be arranged.

We know that the total number of letters in the word is: 5

Number of times the letter 'O' is repeating: 2

Hence, the number of ways the word could be arranged is calculated as:

            Hence, the number of ways are:

                                        60

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1