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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

Find the total numbers from 1 to 1000 (both inclusive)

A999
B1000
C1001
D1002


26

Using the digits of the decimal system, how many numbers lying between 5000 and 6000 (both inclusive), can be formed if Repetition of digits is allowed.

A999
B1000
C1001
D1002


27

Using the digits of the decimal system, how many numbers lying between 5000 and 6000 (both inclusive), can be formed if Repetition of digits is not allowed.

A504
B900
C505
D1001


28

Find the number of five digit number that can be formed by using the digits 2, 5, 6, 7, 9 without repetition so that The number is odd.

A72
B90
C120
D96


29

Find the number of five digit number that can be formed by using the digits 0, 2, 7, 8, 5, 6 without repetition so that the number is odd.

A199
B549
C192
D256


30

Find the number of six digit number that can be formed by using the digits 0, 2, 7, 8, 5, 6 without repetition so that The number is divisible by 5

A219
B259
C216
D256