STAT430 Summer 2009 Hui Nie
STAT 430 Solution 1
Page 16
1. (a)
25
26 *10 67600000=
(b) 26*25*10*9*8*7*6=19656000
3. 20!
7. (a) 6!=720
(b) 2*3!*3!=72
(c) 4!*3!=144
(d) 2*3!*3!=72
9.
12 6 2 1 27720
6411
⎛⎞⎛⎞⎛⎞⎛⎞
=
⎜⎟⎜⎟⎜⎟⎜⎟
⎝⎠⎝⎠⎝⎠⎝⎠
10. (a) 8!=40320
(b) 2*7!=10080
(c) 2*4!*4!=1152
(d) 4!*5!=2880
(e) 4!*2*2*2*2=384
21.
735
4
⎛⎞
=
⎜⎟
⎝⎠
22.
43 18
22
⎛⎞⎛⎞
=
⎜⎟⎜⎟
⎝⎠⎝⎠
Page 50
3.
{(1,2),(1,4),(1,6),(2,1),(4,1),(6,1)}EF =
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(3,1),(4,1),(5,1),(6,1),
(2,3),(2,5), (3,2),(3,4),(3,6), (4,3),(4,5),(5,2),(5,4),(5, 6), (6,3),(6,5)}
EF∪=
{(1,4), (4,1)}FG =
{(2, 3), (2,5),(3,2),(3,4),(3,6),(4, 3), (4,5),(5,2),(5, 4), (5,6),(6,3),(6,5)}
c
EF =
{(1,4),(4,1)}EFG =
6. (a) {(1,g),(1,f),(1,s),(0,g),(0,f),(0,s)}
(b) {(1, ),(0, )}
A
ss=
(c) {(0, ),(0, ),(0, )}
B
gfs=
1
