Question

This is all it gave me 6 C 2 = a0

Answer 1

`\binom{6}{2} = a_(0)=15`

Explanation:

`\binom{6}{2} = a_(0)`

`\binom{n}{r} =(n!)/(r!*(n-r)!)`

It is representing a combination form where, n is number of items we have and r is the number of items we choose from n

Here, n = 6 , r = 2

`\binom{6}{2} =(6!)/(2!*(6-2)!)`

=
`=(6!)/(2!*(4)!)`

`n!=n*(n-1)*(n-2)*(n-3).....*3*2*1`

`=(6*5*4!)/(2*(4)!)`

`=(6*5)/(2)`

`={3*5}`

`={15}=a_0`

Thus,
`\binom{6}{2} = a_(0)=15`