# Permutations Combinations 1-3

218 girls are to be made to stand in a row for a photograph. Among them three particular girls do not want to be together. In how many ways they can be arranged?
A$8! - 3!$
B$8! - 6!$
C$8! - 7! \times 3!$
D$8! - 6! \times 3!$

224 girls and 4 boys are to be made to stand in a row for a photograph so that girls and boys are standing alternatively. In how many ways they can be arranged?
A$8!$
B$5! \times 4!$
C$4! \times 4!$
D$2 \times 4! \times 4!$

234 girls and 4 boys are to be made to stand in a row for a photograph so that no two girls are together. In how many ways they can be arranged?
A$4! \times {}^5{P_4}$
B$4! \times {}^5{C_4}$
C$2 \times 4! \times 4!$
D$2 \times {}^5{P_4}$

24Find the number of 3 digit numbers.
A1000
B899
C900
D901

25

A999
B1000
C1001
D1002

26

A999
B1000
C1001
D1002

27

A504
B900
C505
D1001

28

A72
B90
C120
D96

29

A199
B549
C192
D256

30

A219
B259
C216
D256