Binomial Theorem

$ \mathrm{x}=1$$ { }^{23} C_0+{ }^{23} C_2+{ }^{23} C_4+\cdots+{ }^{23} C_{22}=2^{22} f(x)=10 x$ which is one-and onto

Let's restate the problem carefully: We are asked to determine which of the given statements about divisibility istrue.Step 1: Simplify the power expression So, Step 2: Recognize as a binomial expansion Compare: here Step 3: Substitute back But .So: Step 4: Now we know Let's check divisibility: is divisible by5Not divisible by 6 (needs factor 2,3)Not divisible by 8 (no factor 2)Not divisible by 9 (no factor 3)✅Therefore, is divisible by 5 only.✅Final Answer: Option A — is divisible by 5.