Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth. If we know that Karen boards the bus first, which shows the possible outcomes for this event?
Answer
A
KHIJ, KHJI, KJHI, KJIH
B
KHIJ
C
KHIJ, KHJI
D
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Explanation
Karen is fixed in the first position, leaving Harry, Isabel, and Jose to board in any order. Those three people can be arranged in 3 × 2 × 1 = 6 ways. Choice A lists all six possible arrangements, so it shows the complete set of outcomes.
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