Permutation

Q. In how many ways can the letters of the word STRANGE be arranged so that the vowels may appear in the odd places?

1. 1092
2. 1440
3. 720
4. none of these

Q. 5 men and 4 women are to be seated in a row so that the women occupy the even places. How many such arrangements are possible?

1. 2880
2. 1440
3. 720
4. 2020

Q. How many different signals can be given using any number of flags from 6 flags of different colours?

1. 3976
2. 1240
3. 1956
4. 1976

Q. 15 persons which include A, B, C are to speak at a function. Find the number of ways in which it can be done, if A wants to speak before B and B wants to speak before C.

1. ${}^{15}{C}_3$
2. ${}^{12}{C}_3$
3. ${}^{15}{C}_3\times 12!$
4. ${}^{15}{C}_3\times 3!$

Q. In how many ways three different rings can be worn in four fingers with at most one in each finger?

1. 24
2. 12
3. 36
4. 120

Q. There are 10 stations on a certain relway line. How many different kinds of tickets of class IInd must be printed in order that a passenger mayh go from one station to any other by purchasing ticket?

1. 90
2. 135
3. 45
4. 100

Q. The total number of integral solutions for (x, y, z) such that xyz = 24 is

1. 36
2. 90
3. 120
4. None of these

Q. How many different signals can be made by taking 3 different coloured flags at a time from 5 different coloured flags?

1. 120
2. 60
3. 15
4. 125

Q. If $B_3$ can have only $C_1$ or $C_5$, in how many ways can you arrange the caps such that all boxes have one cap?

1. 480
2. 420
3. 48
4. 88

Q. How many different signals can be made by taking 3 different coloured flags at a time from 5 different coloured flags?

1. 120
2. 60
3. 125
4. 15