A basketball team consists of ﬁve players—
one centre, two forwards, and two guards.
The senior squad at Vennville Central
High School has two centres, six forwards,
and four guards.

b) How many different starting lineups are
possible if all team members play their
speciﬁed positions?
c) How many of these starting lineups
include Dana, the team’s 185-cm
centre?
d) Some coaches designate the forwards as
power forward and small forward. If all
six forwards are adept in either position,
how would this designation affect the
number of possible starting lineups?

Question

A basketball team consists of ﬁve players—
one centre, two forwards, and two guards.
The senior squad at Vennville Central
High School has two centres, six forwards,
and four guards.

b) How many different starting lineups are
possible if all team members play their
speciﬁed positions?
c) How many of these starting lineups
include Dana, the team’s 185-cm
centre?
d) Some coaches designate the forwards as
power forward and small forward. If all
six forwards are adept in either position,
how would this designation affect the
number of possible starting lineups?