400 students were admitted to the 2018-19 MBA batch. 200 of them did n...
Number of students who chose Business statistics = 400 − 200 = 200
Number of students who chose International Management = 400 − 100 = 300
Number of students who chose at least one of the two subjects = 400 − 80 = 320
∴ Number of students who chose both the subjects = 200 + 300 − 320 = 500 − 320 = 180
Hence, option (b).
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400 students were admitted to the 2018-19 MBA batch. 200 of them did n...
Given Information:
- Total number of students admitted to the 2018-19 MBA batch = 400
- Number of students who did not choose "Business Statistics" = 200
- Number of students who did not choose "International Management" = 100
- Number of students who did not choose either subject = 80
Calculations:
Let's denote:
- Number of students who chose both "Business Statistics" and "International Management" as x
- Number of students who chose only "Business Statistics" as y
- Number of students who chose only "International Management" as z
From the given information, we can create the following equations:
x + y = 200 (Total number of students who chose "Business Statistics")
x + z = 100 (Total number of students who chose "International Management")
x + y + z + 80 = 400 (Total number of students admitted)
Now, we can solve these equations to find the values of x, y, and z.
From the first two equations:
y = 200 - x
z = 100 - x
Substitute these values in the third equation:
x + (200 - x) + (100 - x) + 80 = 400
300 - x + 80 = 400
380 - x = 400
-x = 20
x = 20
Therefore, the number of students who chose both "Business Statistics" and "International Management" is 20.
Therefore, the correct answer is option B) 180.