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:

Their is only 2 Possibility to divide Rs. 45,000 in not more than 18 Students.

(1) 12 Students {31250×1 + 6250×1 + 1250×5 + 250×5}

(2) 16 Students {31250×1 + 6250×1 + 1250×4 + 250×10}

Step-by-step explanation:

Hey Mate,

31250 + 6250 + 1250 + 250 = 39000/-

( sum of 4 students prize money is Rs. 39,000)

45000 - 39000 = Rs. 6000/- Remain (We have to divide this money in not more that 14 students. in Rs. 250 & Rs. 1250 )

So,

1250 × 2 = 2500  & 250 × 14 = 3500 ( 14 + 2 + 4 = 20 but as given in question students is not more that 18. )

1250 × 4 = 5000 & 250 × 4 = 1000 ( 4 + 4 + 4 = 12 )(Its a possibility)

1250 × 3 = 3750 & 250 × 9 = 2250 ( 3 + 9 + 4 = 16 )(Its a possibility)

So, Their is only 2 Possibility to divide Rs. 45,000 in not more than 18 Students.

(1) 12 Students {31250×1 + 6250×1 + 1250×5 + 250×5}

(2) 16 Students {31250×1 + 6250×1 + 1250×4 + 250×10}