Let S = {1, 2, 3, ….., 100}. The numbe | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Product is even when atleast one element of subset is even Hence required number of subsets = total subsets -number of subsets all whose elements are

Vedclass · Accepted Answer

$2^{50} (2^{50} -1)$

Vedclass · Answer

Product is even when atleast one element of subset is even Hence required number of subsets = total subsets -number of subsets all whose elements are odd $= 2^{100} - 2^{50}$

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

Similar Questions

Let $S$ be the set of all ordered pairs $(x, y)$ of positive integers satisfying the condition $x^2-y^2=12345678$. Then,

Let $a>0, a \neq 1$. Then, the set $S$ of all positive real numbers $b$ satisfying $\left(1+a^2\right)\left(1+b^2\right)=4 a b$ is

$S=\{(x, y, z): x, y, z \in Z, x+2 y+3 z=42$ $\mathrm{x}, \mathrm{y}, \mathrm{z} \geq 0\}$ ...........

If $X = \{ {4^n} - 3n - 1:n \in N\} $ and $Y = \{ 9(n - 1):n \in N\} ,$ then $X \cup Y$ is equal to

If $A = \{x, y\}$ then the power set of $A$ is