
84 A First Course in Quality Engineering
Example 2.20
How many different committees of three can be formed with 2 women and 1 man
out of a group of 4 women and 6 men?
Solution
Look at this problem as having to fill two boxes, one with 2 women and the other
with 1 man:
W M
12
The box with women can be filled in
2
ways and the box with men in
1
ways.
The two boxes together can be filled in:
4
2
6
1
4
2 2
6
1 5
6 6 36
= × = × =
!
! !
!
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ways.
Example 2.21
A box contains 20 pencils, of which 16 are good and 4 are defective.
a. How many samples of 4 pencils can be drawn from the box?
b. How many samples of 4 are possible with exactly 1 defective? ...