Permutations and combinations - Quantitative Aptitude (MCQ) questions

1)   There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
- Published on 13 Apr 17

a. 870
b. 435
c. 30!
d. 29! + 1
Answer  Explanation 

ANSWER: 435

Explanation:
permutation and combination


2)   In how many ways can we arrange the word ‘FUZZTONE’ so that all the vowels come together?
- Published on 13 Apr 17

a. 1440
b. 6
c. 2160
d. 4320
Answer  Explanation 

ANSWER: 2160

Explanation:
permutation and combination


3)   In Cricket League, in first round every team plays a match with every other team. 9 teams participated in the Cricket league. How many matches were played in the first round?
- Published on 12 Apr 17

a. 36
b. 72
c. 9!
d. 9! - 1
Answer  Explanation 

ANSWER: 36

Explanation:
permutation combination


4)   How many combinations are possible while selecting four letters from the word ‘SMOKEJACK’ with the condition that ‘J’ must appear in it?
- Published on 12 Apr 17

a. 81
b. 8!/2!
c. 3!/2!
d. 41
Answer  Explanation 

ANSWER: 41

Explanation:
permutation combination


5)   In a room there are 2 green chairs, 3 yellow chairs and 4 blue chairs. In how many ways can Raj choose 3 chairs so that at least one yellow chair is included?
- Published on 11 Apr 17

a. 3
b. 30
c. 64
d. 84
Answer  Explanation 

ANSWER: 64

Explanation:
permutation combination


6)   17 students are present in a class. In how many ways, can they be made to stand in 2 circles of 8 and 9 students?
- Published on 11 Apr 17

a. 17C9 x 9! X 8!
b. 17C9 x 8! X 7!
c. 8! X 7!
d. 17C8 x 8! X 9!
Answer  Explanation 

ANSWER: 17C9 x 8! X 7!

Explanation:
permutation and combination


7)   On a railway line there are 20 stops. A ticket is needed to travel between any 2 stops. How many different tickets would the government need to prepare to cater to all possibilities?
- Published on 11 Apr 17

a. 760
b. 190
c. 380
d. 72
Answer  Explanation 

ANSWER: 380

Explanation:
permutation and combination


8)   In Daya’s bag there are 3 books of History, 4 books of Science and 2 books of Maths. In how many ways can Daya arrange the books so that all the books of same subject are together?
- Published on 11 Apr 17

a. 9
b. 6
c. 8640
d. 1728
Answer  Explanation 

ANSWER: 1728

Explanation:
permutation and combination


9)   A locker in bank has 3 digit lock. Mahesh forgot his password and was trying all possible combinations. He took 6 seconds for each try. The problem was that each digit can be from 0 to 9. How much time will be needed to by Mahesh to try all the combinations?
- Published on 11 Apr 17

a. 90 minutes
b. 120 minutes
c. 60 minutes
d. 100 minutes
Answer  Explanation 

ANSWER: 100 minutes

Explanation:
permutation and combination


10)   Mayur travels from Mumbai to Jammu in 7 different ways. But he is allowed to return to Mumbai by any way except the one he used earlier. In how many ways can he complete his journey?
- Published on 11 Apr 17

a. 49
b. 42
c. 48
d. 6
Answer  Explanation 

ANSWER: 42

Explanation:
permutation and combination


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