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QJEEM19Maea3a: JEE Main 2019 Mathematics - Class 11 JEEM19Maea3a Solution: Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A…
Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :
Multiple Choice Options
- A 250 – 1
- B 250 (250 1)
- C 2100 1
- D 250 + 1
Step-by-Step Verified Solution
S = {1,2,3, . . . .100}
= Total non empty subsets-subsets with product of element is odd
= 2100 1 1[(250 1)]
= 2100 250
= 250 (250 1)
= Total non empty subsets-subsets with product of element is odd
= 2100 1 1[(250 1)]
= 2100 250
= 250 (250 1)