Dayshawn can choose two of his four t-shirts to take on a weekend trip. if the t-shirts are labeled a, b, c, and d, which choice represents the sample space, s, for the event?
a. s = {abcd}
b. s = {abcd, dcba}
c. s = {ab, ac, ad, bc, bd, cd}
d. s = {ab, ba, ac, ca, ad, da, bc, cb, bd, db, cd, dc}

C is the right answer. Sample space of the given event is given by

S= {AB, AC, AD, BC, BD, CD}

Step-by-step explanation:

Given : Total T-shirts =4

He chose T-shirt to take on weekend trip = 2

In an random trial or experiment , the set of all possible outcomes or results of that experiment is called the sample space of it.

If the t-shirts are labeled A, B, C, and D,

then its sample space of the event is given by

S= {AB, AC, AD, BC, BD, CD}