PrepTest 61, Section 1, Question 17
The coach of a women's track team must determine which four of five runners�Quinn, Ramirez, Smith, Terrell, and Uzoma�will run in the four races of an upcoming track meet. Each of the four runners chosen will run in exactly one of the four races�the first, second, third, or fourth. The coach's selection is bound by the following constraints:
The coach of a women's track team must determine which four of five runners�Quinn, Ramirez, Smith, Terrell, and Uzoma�will run in the four races of an upcoming track meet. Each of the four runners chosen will run in exactly one of the four races�the first, second, third, or fourth. The coach's selection is bound by the following constraints:
The coach of a women's track team must determine which four of five runners�Quinn, Ramirez, Smith, Terrell, and Uzoma�will run in the four races of an upcoming track meet. Each of the four runners chosen will run in exactly one of the four races�the first, second, third, or fourth. The coach's selection is bound by the following constraints:
The coach of a women's track team must determine which four of five runners�Quinn, Ramirez, Smith, Terrell, and Uzoma�will run in the four races of an upcoming track meet. Each of the four runners chosen will run in exactly one of the four races�the first, second, third, or fourth. The coach's selection is bound by the following constraints:
If Quinn runs in the track meet, then Terrell runs in the race immediately after the race in which Quinn runs.
Smith does not run in either the second race or the fourth race.
If Uzoma does not run in the track meet, then Ramirez runs in the second race.
If Ramirez runs in the second race, then Uzoma does not run in the track meet.
If both Quinn and Smith run in the track meet, then how many of the runners are there any one of whom could be the one who runs in the first race?
one
two
three
four
five
Explanations
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