The plane contains 5 collinear and 4 non collinear points what is the probability of forming

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There are $25$ points on a plane of which $7$ are collinear . How many quadrilaterals can be formed from these points ?

I did this $^{25}C_{4}-^{7}C_{4}=12615$ quadrilaterals.

But the book is giving answer $^{25}C_{4}-^{7}C_{4}-^{7}C_{3}\times ^{18}C_{1}=11985$ quadrilaterals..

I don't know what is the correct idea .

I look for a short and simple way.

I have studied maths up to $12$th grade.