A Pre-RMO question! -11

Probability Level 1

In a University out of 120120 students, 1515 opted mathematics only, 1616 opted statistics only, 99 opted physics only and 4545 opted physics and mathematics, 3030 opted physics and statistics, 88 opted mathematics and statistics, and 8080 opted physics.

Find the sum of number of students who opted mathematics and those who didn't opted any of the subjects given.

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