Question

Use the formula for nCr, to evaluate the given expression.5C0

Answer 1

The nCr formula is:

`_nC_r=C(n,r)=(n!)/(r!(n-r)!)`

Since we want the value fo 5C0, this is the same as:

`_5C_0=C(5,0)=(5!)/(0!(5-0)!)=(5!)/(0!5!)`

Factorial of 0 is equal to 1 and the factorials of 5 will cancel out, so:

`_5C_0=C(5,0)=(5!)/(0!(5-0)!)=(5!)/(0!5!)=(1)/(1\cdot1)=1`

So, the answer is 1