Question

A sum of 45,000 is to be distributed amongst Not more than 18 students as prize amount in demonitation of 250 1250 , 6250 and 31250 such that there is a least one student getting a prize of each denomination and each student gets exactly one prize.The entire amount has to be distributed .The number of ways this armount can be distributed Is

Answer 1

Answer:

16 students (31250  - 1  , 6250  - 1  , 1250  - 4  & 250 - 10)

12 students (31250  - 1  , 6250  - 1  , 1250  - 5  & 250 - 5)

Step-by-step explanation:

4 students will get 31250+6250+1250+250 = 39000

Remaining amount = 45000 - 3900 = 6000

now 6000 to be divided into 1250 & 250

6000 = 250 * 24 (not possible as students will be more than 18)

6000 = 1250 *1 + 250*19  ( not possible as students will be more than 18)

6000 = 1250*2 + 250*14 (14+2+4 = 20 Students> 18 , not possible)

6000 = 1250*3 + 250*9  ( total students =9+3+4 = 16)

6000 = 1250*4 + 250*4  (Total students = 4 + 4 + 4 = 12)