Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, 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
B
KHIJ, KHJI
C
KHIJ, KHJI, KJHI, KJIH
D
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH
Explanation
Karen is fixed in the first position, so Harry, Isabel, and Jose can board in any order in the remaining three positions. There are 3 × 2 × 1 = 6 possible orders, and choice D lists all six: KHIJ, KHJI, KJHI, KJIH, KIHJ, and KIJH.
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