$6$ persons enter a bus with $6$ different tickets. The bus goes from Hyderabad to Vijayawada which has $9$ intermediate stops.How many different sets of ticket may they have had?

^{10} C_{6}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

^{11} C_{6}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

55

No worries! We‘ve got your back. Try BYJU‘S free classes today!

^{55} C_{6}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is C $^{55} C_{6}$
$6$ people have $6$ diffrent tickets
Bus goes from Hydrabad to Vijayawada
There are $9$ inter mediate stops
Person Boarding at Hydrabad has $10$ stations to leave
At the immediate next station he has $9$ stations to leave
Total number of ways a person can board and leave bus
$= 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1$
$= 55$
Number of ways $=^{55} C_{6}$

Suggest Corrections

Similar questions

Q. A train is going from Chennai to Bangalore and make

6

intermediate stops on the way. Three persons enter the train after it has started from Chennai each with

3

different tickets. How many different sets of tickets may they have had?

Q. A train is going from Chennai to Bangalore and makes

6

intermediate stops on the way. Three persons enter the train after it has started from Chennai, each with

3

different tickets. How many different sets of tickets may they have had?

A train is going from Cambridge to London stops at nine intermediate stations. Six persons enter the train during the journey with six different tickets. How many different sets of tickets they have had?

Q. A train is going from London to Cambridge stops at 12 intermediate stations. 75 persons enter the train during the journey with 75 different tickets of the same class. Number of different sets of tickets they may be holding is

Join BYJU'S Learning Program

6 persons enter a bus with 6 different tickets. The bus goes from Hyderabad to Vijayawada which has 9 intermediate stops.How many different sets of ticket may they have had?

$6$ persons enter a bus with $6$ different tickets. The bus goes from Hyderabad to Vijayawada which has $9$ intermediate stops.How many different sets of ticket may they have had?