HP -22S Owner's Manual page 125

Example.
Part 1:
A company employing 14 women and 10 men is
forming a six-person committee to deal with health and safety issues.
How many different combinations of people are possible?
Keys:
24
1
INPUT
16
.1
PROS
I
{Cn,r}
Display:
134,596.0000
Description:
Calculates number of
combinations.
Part 2:
If employees are chosen at random, what is the probability
that the committee will contain six women?
ISTOI C
14
1
INPUT
16
.1
PROS
I
{Cn,r}
C= 134,596.0000
3,003.0000
0.0223
Stores previous result.
Calculates number of
combinations of six
women.
Probability of commit-
tee being all women.
Part 3:
If employees are chosen at random, what is the probability
that the committee will contain equal numbers of men and women?
10
1
INPUT
13
.1
PROS
I
{Cn,r}
ISTOI M
14
1
INPUT
13
.1
PROS
I
{Cn,r}
120.0000
M= 120.0000
364.0000
43,680.0000
0.3245
Calculates combina-
tions of 10 men, 3 at a
time.
Stores value in M.
Calculates combina-
tions of 14 women
taken 3 at a time.
Number of 6-person
committees with 3 men
and 3 women.
Probability of the com-
mittee containing 3
men and 3 women.
8: Additional Examples 125