Permutation and Combination problems|Permutation and Combination|Aptitude-part-2

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Q1 . In how many ways can the word repeation?

1. 11!

2. (11-1)!

3. 12!

4. 11!/(2!x2!

Correct Answer is

11!/(2!x2!

SOLUTION

The word repeatation is a 11 letter word

the alphabets e,t,a are repeated twice

total ways 11/(2!x2!x2!)

Q2 . In a room there are 4 fans. In how many ways can fans be switched on or not?

1. 12

2. 15

3. 16

4. 4!

Correct Answer is

15

SOLUTION

Number of fans is 4

the possible ways is 2^4 but we want atleast one on so 2^4 - 1

=15

Q3 . in how many ways can word alter be arranged if it starts with a and ends with r?

1. 5!

2. 30

3. 24

4. 120

Correct Answer is

24

SOLUTION

it is a 5 letter word

since first letter is a

the rest of the 4 can be arranged in 4! Ways

=24

Q4 . In how many ways can word alter be arranged if it starts with a and ends with e respectively?

1. 12

2. 120

3. 6

4. 24

Correct Answer is

6

SOLUTION

it is a 5 letter word

since the first and last alphabets are fixed

rest of the 3 alphabets can be arranged in 3! Ways = 6

Q5 . in how many ways can champion be arranged if vowels are together?

1. 120

2. 600

3. 4320

4. 8!

Correct Answer is

4320

SOLUTION

the word champion is a 8 letter word

to consider all vowels are together so consider them as a word

chmpn(aio)

6! Ways of arranging

3! For arranging the words among them

6!x3! = 4320

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Permutation and Combination problems,Permutation and Combination, Aptitude solved questions

Target Audience for Permutation and Combination Aptitude problems

Permutation and Combination problems, for Interview Preparations

Permutation and Combination problems, for Bank Exams(IBPS,SBI PO,SBI Clerk)

Permutation and Combination problems,for Government Exams(SSC CGL,SSC CHSL)

Permutation and Combination Aptitude problems,for Aptitude Test preparation

Permutation and Combination problems,for Railway exams(RRB)

Permutation and Combination problems, for Postal Exams

IAS Exam preparation(UPSC)

Permutation and Combination problems,for MBA Exams preparation

Q1 . In how many ways can the word repeation?

1. 11!

2. (11-1)!

3. 12!

4. 11!/(2!x2!

Correct Answer is

11!/(2!x2!

SOLUTION

The word repeatation is a 11 letter word

the alphabets e,t,a are repeated twice

total ways 11/(2!x2!x2!)

Correct Answer is

11!/(2!x2!

SOLUTION

The word repeatation is a 11 letter word

the alphabets e,t,a are repeated twice

total ways 11/(2!x2!x2!)

Q2 . In a room there are 4 fans. In how many ways can fans be switched on or not?

1. 12

2. 15

3. 16

4. 4!

Correct Answer is

15

SOLUTION

Number of fans is 4

the possible ways is 2^4 but we want atleast one on so 2^4 - 1

=15

Correct Answer is

15

SOLUTION

Number of fans is 4

the possible ways is 2^4 but we want atleast one on so 2^4 - 1

=15

Q3 . in how many ways can word alter be arranged if it starts with a and ends with r?

1. 5!

2. 30

3. 24

4. 120

Correct Answer is

24

SOLUTION

it is a 5 letter word

since first letter is a

the rest of the 4 can be arranged in 4! Ways

=24

Correct Answer is

24

SOLUTION

it is a 5 letter word

since first letter is a

the rest of the 4 can be arranged in 4! Ways

=24

Q4 . In how many ways can word alter be arranged if it starts with a and ends with e respectively?

1. 12

2. 120

3. 6

4. 24

Correct Answer is

6

SOLUTION

it is a 5 letter word

since the first and last alphabets are fixed

rest of the 3 alphabets can be arranged in 3! Ways = 6

Correct Answer is

6

SOLUTION

it is a 5 letter word

since the first and last alphabets are fixed

rest of the 3 alphabets can be arranged in 3! Ways = 6

Correct Answer is

4320

SOLUTION

the word champion is a 8 letter word

to consider all vowels are together so consider them as a word

chmpn(aio)

6! Ways of arranging

3! For arranging the words among them

6!x3! = 4320

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Permutation and Combination problems,Permutation and Combination, Aptitude solved questions

Target Audience for Permutation and Combination Aptitude problems

Permutation and Combination problems, for Interview Preparations

Permutation and Combination problems, for Bank Exams(IBPS,SBI PO,SBI Clerk)

Permutation and Combination problems,for Government Exams(SSC CGL,SSC CHSL)

Permutation and Combination Aptitude problems,for Aptitude Test preparation

Permutation and Combination problems,for Railway exams(RRB)

Permutation and Combination problems, for Postal Exams

IAS Exam preparation(UPSC)

Permutation and Combination problems,for MBA Exams preparation

Q1 . In how many ways can the word repeation? 1. 11! 2. (11-1)! 3. 12! 4. 11!/(2!x2! Check AnswerCorrect Answer is 11!/(2!x2! SOLUTIONThe word repeatation is a 11 letter word the alphabets e,t,a are repeated twice total ways 11/(2!x2!x2!)

Correct Answer is 11!/(2!x2!

SOLUTIONThe word repeatation is a 11 letter word the alphabets e,t,a are repeated twice total ways 11/(2!x2!x2!)

Q2 . In a room there are 4 fans. In how many ways can fans be switched on or not? 1. 12 2. 15 3. 16 4. 4! Check AnswerCorrect Answer is 15 SOLUTIONNumber of fans is 4the possible ways is 2^4 but we want atleast one on so 2^4 - 1=15 (adsbygoogle = window.adsbygoogle || []).push({});

Correct Answer is 15

SOLUTIONNumber of fans is 4the possible ways is 2^4 but we want atleast one on so 2^4 - 1=15

Q3 . in how many ways can word alter be arranged if it starts with a and ends with r? 1. 5! 2. 30 3. 24 4. 120 Check AnswerCorrect Answer is 24 SOLUTIONit is a 5 letter word since first letter is a the rest of the 4 can be arranged in 4! Ways=24

Correct Answer is 24

SOLUTIONit is a 5 letter word since first letter is a the rest of the 4 can be arranged in 4! Ways=24

Correct Answer is 6

SOLUTIONit is a 5 letter word since the first and last alphabets are fixed rest of the 3 alphabets can be arranged in 3! Ways = 6

Correct Answer is 4320

SOLUTIONthe word champion is a 8 letter word to consider all vowels are together so consider them as a wordchmpn(aio) 6! Ways of arranging 3! For arranging the words among them 6!x3! = 4320

For more Permutation and Combination aptitude problems

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Q1 . In how many ways can the word repeation?

1. 11!

2. (11-1)!

3. 12!

4. 11!/(2!x2!

Correct Answer is

11!/(2!x2!

SOLUTION

The word repeatation is a 11 letter word

the alphabets e,t,a are repeated twice

total ways 11/(2!x2!x2!)

Correct Answer is

11!/(2!x2!

SOLUTION

The word repeatation is a 11 letter word

the alphabets e,t,a are repeated twice

total ways 11/(2!x2!x2!)

Q2 . In a room there are 4 fans. In how many ways can fans be switched on or not?

1. 12

2. 15

3. 16

4. 4!

Correct Answer is

15

SOLUTION

Number of fans is 4

the possible ways is 2^4 but we want atleast one on so 2^4 - 1

=15

Correct Answer is

15

SOLUTION

Number of fans is 4

the possible ways is 2^4 but we want atleast one on so 2^4 - 1

=15

Q3 . in how many ways can word alter be arranged if it starts with a and ends with r?

1. 5!

2. 30

3. 24

4. 120

Correct Answer is

24

SOLUTION

it is a 5 letter word

since first letter is a

the rest of the 4 can be arranged in 4! Ways

=24

Correct Answer is

24

SOLUTION

it is a 5 letter word

since first letter is a

the rest of the 4 can be arranged in 4! Ways

=24

Correct Answer is

6

SOLUTION

it is a 5 letter word

since the first and last alphabets are fixed

rest of the 3 alphabets can be arranged in 3! Ways = 6

Correct Answer is

4320

SOLUTION

the word champion is a 8 letter word

to consider all vowels are together so consider them as a word

chmpn(aio)

6! Ways of arranging

3! For arranging the words among them

6!x3! = 4320