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Question

If Z is defined as the set of letters of the word contract, then the set can be represented in the Roster form as:

A
Z={c,o,n,t,r,a,m}
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B
Z={c,o,n,t,r,a}
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C
Z={a,n,t,r,c,o}
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D
Z={c,o,n,r}
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Solution

The correct option is C Z={a,n,t,r,c,o}
For Roster form of sets, we know that both the order and repitition of the elements is immaterial.

Hence, utilizing these two properties, we can represent the set as:
Z={c,o,n,t,r,a}

Since order does not matter, we can also represent the set as: Z={a,n,t,r,c,o}

Also, Z{c,o,n,r} as it does not contain all the letters of the word.

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