BASIC CONCEPTS OF PERMUTATIONS AND COMBINATIONS ADDITIONAL QUESTION BANK with solution

Q1. There are 6 routes for the journey from station A to station B. In how many ways you may go from A to B and return if for returning you make a choice of any of the routes? 

Q2. As per question No.(1) if you decided to take the same route you may do it in _______ 

the number of ways. 

Q3. As per question No.(1) if you decided not to take the same route you may do it in _______ 

the number of ways. 

Q4. How many telephones connections may be allotted with 8 digits form the numbers 0,1,2 .......9? 

Q5. In how many different ways 3 rings of a lock can not combine when each ring has digits 

0,1,2......9 leading to unsuccessful events? 

Q6. A dealer provides you Maruti Car & Van in 2 body patterns and 5 different colours. How many choices are open to you? 

Q7. 3 persons go into a railway carriage having 8 seats. In how many ways they may occupy the seats? 

Q8. Find how many five-letter words can be formed out of the word “LOGARITHMS” (the 

words may not convey any meaning) 

Q9. How many 4 digits numbers greater than 7000 can be formed out of the digits 3,5,7,8,9?

Q10. In how many ways 5 Sanskrit 3 English and 3 Hindi books be arranged keeping the books of the same language together?.

_{11. In how many ways can 6 boys and 6 girls be seated around a table so that no 2  boys are} adjacent? 

Q12. In how many ways can 4 Americans and 4 English men be seated at a round table so that no 2 Americans maybe together?