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.

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
n

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.

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
n

kropot72 · Answer

c) There are 6C2 combinations of forwards and 4C2 combinations of guards. The total number of combinations of forwards and guards each of which could include Dana is 6C2 * 4C2.$$6C2\times 4C2=\frac{6!}{4!2!}\times \frac{4!}{2!2!}=You\ can\ calculate$$