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

Sagot :

The nCr formula is:

[tex]_nC_r=C(n,r)=\frac{n!}{r!(n-r)!}[/tex]

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

[tex]_5C_0=C(5,0)=\frac{5!}{0!(5-0)!}=\frac{5!}{0!5!}[/tex]

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

[tex]_5C_0=C(5,0)=\frac{5!}{0!(5-0)!}=\frac{5!}{0!5!}=\frac{1}{1\cdot1}=1[/tex]

So, the answer is 1

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