Permutations and combinations  Quantitative Aptitude (MCQ) questions
Dear Readers, Welcome to Quantitative Aptitude Permutations and combinations questions and answers with explanation. These Permutations and combinations solved examples with shortcuts and tricks will help you learn and practice for your Placement Test and competitive exams like Bank PO, IBPS PO, SBI PO, RRB PO, RBI Assistant, LIC,SSC, MBA  MAT, XAT, CAT, NMAT, UPSC, NET etc.
After practicing these tricky Permutations and combinations multiple choice questions, you will be exam ready to deal with any objective type 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

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

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

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

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

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. ^{17}C_{9} x 9! X 8!
b. ^{17}C_{9} x 8! X 7!
c. 8! X 7!
d. ^{17}C_{8} x 8! X 9!

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

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

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

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
