Permutation

Q. The number of ways of painting the six faces of a cube with six different given colours is

1. 1
2. 720
3. 30
4. 15

Q.

Given 5 flags of different colours, how many different signals can be generated if each signal requires the use of 2 flags, one below the other?

Q.

How many numbers can be made with the help of the digits $0,1,2,3,4,5$which are greater than $3000$ (repetition is not allowed)?

1. $180$

2. $360$

3. $1380$

4. $1500$

Q. If the letters of the word RACHIT are arranged in all possible ways as listed in dictionary.Then what is the rank of the word RACHIT

Q.

In how many ways, can the letters of the word "HONESTY" be arranged ?

Also, in how many ways, can the letters be arranged when it starts with vowel and end with vowel.

Do you like jumbled letters of word honesty ? Why honesty is acquired in your life.

Q.

From a class of 25 students, 10 are to be chosen for an excursion party. There are 3 students who decide that either all of them will join or none of them will join. In how many ways can the excursion party be chosen?

Q.

How many number of four digits can be formed with the digits 1, 2, 3, 4, 5 if the digit can be repeated in any number of times?

1. 5!

2. 9000

3. 625

4. 55

Q.

How many ways are there to arrange the letters in the word GARDEN with the vowels in alphabetical order?

1. 120

2. 480

3. 240

4. 360

Q. 10. How many numbers greater than 50000 can be formed with the digits 4, 5, 6, 7and8 if no digit being repeated

Q. 35. The sum of all 4 digit numbers that can be formed by taking the digits from 0 1 3 5 7 9 is a)1623300 b)1632300. c)1632030. b)1633200

Q. The number of seven digit numbers in which every digit is either greater than or equal to immediately preceeding one is n, then the unit’s digit of n is

Q. The number of unsuccessful attempts that can be made by a thief to open a number lock having 3 rings in which each ring contains 6 numbers is

1. 205
2. 200
3. 210
4. 215

Q.

The number of integers greater than 6, 000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is:

1. 120

2. 216

3. 192

Q. All the words that can be formed using alphabets A, I, U, R are written as in a dictionary (no alphabets repeated). Then, the rank of the word RAHUL. is

Q. 13 The number of ways in which all the letters of the word " EXTENSION " can be arranged so that no two Es and no two Ns are together

Q. In how many ways can the letters of the word DELHI be arranged so that the letter E and H occupy only evenplaces?

Q. Find the total number of proper factors of the number 35700

Q.

How many 7-digit numbers can be formed using the digits1, 2, 0, 2, 4, 2, 4?

1. 420

2. 450

3. 360

4. 340

Q. 62. Number of ways in which the letters of the word "DETERMINATION" be arranged such that all repeated letters must occur together in their respective groups and "E" must appear before "A" and "O" (e.g. "EEDAIINNMTTRO")

Q.

The number of ways in which any four letters can be selected from the word 'CORGOO' is_______.

1. 15

2. 11

3. 7

4. 720

Q. The letters of the word $COCHIN$ are permuted and all permutation are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word $COCHIN$ is

1. $96$
2. $48$
3. $183$
4. $267$

Q. The letters of the word COCHIN are permuted and all the permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is

1. 360
2. 192
3. 96
4. 48

Q. If $(n+1)!=12(n-1)!$, then the value of $n$ is

1. $2$
2. $3$
3. $4$
4. $5$

Q. The number of ways to arrange the letters in the word GARDEN with the vowels in alphabetical order

1. 120
2. 360
3. 480
4. 300

Q. How many different words with or without meaning can be formed from all the letters of the word BHOPAL, if repetition is not allowed?

1. 840
2. 640
3. 720
4. 520

Q.

The value of$x+y+x$ is $15,$if $a,x,y,z$ and bare in AP while the value of $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}$ is $\frac{5}{3}$, If, $\frac{1}{a},\frac{1}{x},\frac{1}{y},\frac{1}{z}$ and $\frac{1}{b}$ are in AP . Find the values of a and b.

Q. If the different permutations of all the letter of the words $EXAMINATION$ are listed as in a dictionary, how many words are there in this list before the first word starting with $E$?

Q.

The number of ways in which the letters of the word ARRANGE can be arranged such that both R do not come together is

1. 360

2. 900

3. 1260

4. 1620

Q. Find sum of all 4 digit numbers formed by using 1, 1, 2, 3, 4.

Q. how to find the word on 51th rank from word AGAI