Out of 1000 students who appeared for C.A. Intermediate Examination, 750 failed in Math, 600 failed in Accounts and 600 failed in Costing, 450 failed in both Math & Accounts, 400 failed in both Math & Costing, 150 failed in both Accounts & Costing. The Students who failed in all the three Subjects were 75. Prove that the above data is not correct.
Answers
Answer:
Step-by-step explanation:
Total number of student = 1000
No. of students failed in maths = 750
No. of students failed in Accounts = 600
No. of students failed in costing = 600
No. of students failed in both math and accounts = 450
No. of students failed in both math and costing = 400
No. of students failed in both accounts and costing = 150
No. of students failed in three subject = 75
Given that there are 1000 students and only 75 student failed in all 3 subjects
Let a be the number of students failed only in mathematics, b be number of students failed only in Accounts and c be number of students failed only in Costing.
Let x be number of students failed only in mathematics and accounts, y be number of students failed only in accounts and costing and z be the number of students failed only in costing and mathematics.
By Venn diagram, we get 1000 = a+b+c+x+y+z+p
Data is not correct