Question

17. total amount of Rs. 1500 is to be distributed to 3 poor students A, B, C of a 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 atleast Rs. 400 each?

Answer 1

answer:

i) 500

ii) A=3

B=37.5

Answer 2

Answer:

(i)   ^{5}P_{3}

(400, 500, 600)

(400,600,500)

  (500,400,600)      

  (600, 500, 400)

     ^{3}P_{3}

(ii)   A = 500(600, 400)

   A = 500(400, 600)

A = 600(400, 500)

 A  = 600(500, 400)

A =  700(400,400)  

Step-by-step explanation:

In this question

We have given that

1500 Rs.  is to be distributed to 3 students A, B, C .

(i) According this question everyone must be get Rs. 300

So, 1500 is divide by 300 then bundle of hundred notes is 5

Then everyone gets at least ^{5}P_{3} rupees

When 1500 rupees is divide in 400 rupees in three part

Then we get (400, 500, 600)

                      (400,600,500)

                       (500,400,600)      

                        (600, 500, 400)

When 1500 is divide by 500 then bundle of hundred notes is 5

Then everyone gets at least ^{3}P_{3} rupees

(ii) According to this question A at least get 500 rupees and reaming money divide in this form

             A = 500(600, 400)

              A = 500(400, 600)

If             A = 600(400, 500)

              A  = 600(500, 400)

similarly, A =  700(400,400)