Teaching DSSSB TGT Mock Test 2025 Mathematical Science Analysis Elementary Set Theory

Let S = {1,2, .....100} and let  A = { 1, 2 ....15 } and B = {46, 47, 48, 49, 50}. What is the total number of subset of S which have empty intersection with either A or B?

1
280
2
280(25 - 1)
3
290(25 + 210 - 1)
4
280(25 + 215 - 1)
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