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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:
Display:
Description:
24
6 l(ProB]
Calculates number of
{Cn,r}
134,596.0000
combinations.
Part 2: If employees are chosen at random, what is the probability
that the committee will contain six women?
C
C=134,596.800808
Stores previous result.
14
6 @(PrOB]
Calculates number of
{Cn,r}
2,003.0000
combinations of six
women.
()
C (=)
8.08223
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
3 @(PrOB]
Calculates combina-
{Cn,r}
120.0000
tions of 10 men, 3 at a
time.
M
M=120.0000
Stores value in M.
14
3 @(ProOB]
Calculates combina-
{Cnh,r}
364.0000
tions of 14 women
taken 3 at a time.
(x]
M (=]
43,680.0000
Number of 6-person
committees with 3 men
and 3 women.
(<]
C (=]
8.3245
Probability of the com-
mittee containing 3
men and 3 women.
8: Additional Examples
125
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