Question

The AMS MOCK CAT test CATALYST 19 consists
of four sections. Each section has a maximum of 45
marks. Find the number of ways in which a student
can qualify in the AMS MOCK CAT if the qualifying
marks is 90.
(a) 36,546
(b) 6296
(C) 64906
(d) None of these

Answer 1

Step-by-step explanation:

option no. (c) is the answer

Answer 2

"64906 ways a student get qualify in the AMS MOCK CAT"

Given:

4 sections

each section = 45

To Find:

Find the ways a student can qualify

Step-by-step explanation:

Consider, the four section as  a, b, c, d

a  + b + c + d = 90

93$C_{3}$ ways

When any of the four > 45

a' + b' + c' + d' = 44

Total = 4*47$C_{3}$ ways

Total = 93$C_{3}$ - 4*47$C_{3}$

         = 129766 - 64860

         = 64906

Therefore, 64906 ways a student get qualify in the AMS MOCK CAT