Question

Total Amount of Rs.1500 is to be distributed to 3 poor students A,B,C of class. in how many ways the distribution can be made in multiplies of Rs.100

(i)if everyone of these must get at least Rs.300?
(ii)if A must get at least Rs.500 ,B and C must get at least Rs.400 each

Answer 1

Step-by-step explanation:

everyone of these must get at least Rs.300?

let say every one get rs 300

then 900 rs distributed

and 600 rs left to distribute

let say A receive 600 then B & C can only receive in 1 ways

if A receive 500 then B & C can receive in 2 ways

if A receive 0 then B & C can receive in 7 ways

total number of ways =1 +2+3+4+5+6+7=28

28 ways

A must get at least Rs.500 ,B and C must get at least Rs.400 each

1300 distributed and rs 200 left to distributed

0 0 200

0 100 100

0 200 0

100 0 100

100 100 0

200 0 0

6 ways ( 3 + 2 + 1)