MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: R

There are no items in this cart.
Continue Shopping
Menu
alok ranjan sahoo Grade:
        

in how many ways a,b,c having 6,7,8rupee each can give collectively 10 rupee to a bagger?


 

6 years ago

Answers : (1)

SHAIK AASIF AHAMED
askIITians Faculty
74 Points
										Hello student,
Please find the answer to your question below
Let A,B,C donatex1,x2,x3coins withxi≥0.
Then A/Q∑xi=10.....(1)
At first lets find all the solutions of this equation in integers.
The no. of such solution is12C2
Now we will find the no. of solution in whichx1≥7,(these solutions cant be considered),
To find this lets replacex1byx+6wherex≥1putting this into 1 we havex+x2+x3=4we will find no. of such solns.5C2
In this way we will find the other cases which are not possible.
Namely whenx2≥8in this case we have4C2solutions , and the last one whenx3≥9then we have3C2 solutions.
All the cases which cant be posiible are disjoint implying
the total no. of solution =(total no. of cases)-(cases not possible).
=12C2−5C2−4C2−3C2
=47
2 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details