A student can gain speed in mathematical...

A student can gain speed in mathematical calculation by

1.Discussion or debate

2.Oral work

3.Written work

4.Practice

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In an examination 30% of the students failed in Physics, 25% in Mathematics and 12% in both Physics and Mathematics. A student is selected at random. Find the probability that the student has failed in Physics, if it is known that he has failed in Mathematics. (ii) the student has failed at least one of the two subjects (ii) the student has passed at least one of the two subjects (iv) the student has passed in Mathematics if he failed in Physics.

A class has 175 students, The following description gives the number of students studying one or more of the subjects in this class, Mathematics 100 , physics 70 , chemistry 46 , Mathematics and physics 30 , mathematics and chemistry 28 , physics and chemistry 23 , mathematics, physics and chemistry alone 18 , (i) how many students are enrolled in mathematics alone, physics alone and children alone, (ii) the number of students who have not offered any of these subjects.

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A student can gain speed in mathematical calculation by

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