Question

plzz explain 8c3 × 10c4 kyu kiya

Answer 1

Hey MATE!

To covert the base as a difference of 1 it can be done.

It is a property which you can see in above image.

Answer 2

Answer:

This is happening because of the formula of permutations and combinations that is,

$\\ n_{C_{r} } = n_{C_{n-r} }$

Step-by-step explanation:

Now, by definition of combinations, we have,

  $\\ n_{C_{r} }$ = $\frac{n!}{r!. (n-r)!}$ .....(i)

Now, let us substitute (n-r) for r, then, we get,

$n_{C_{n-r} }$

= $\frac{n!}{(n-r)!.(n-(n-r))!}$

= $\frac{n!}{(n-r)!.r!}$

= $\frac{n!}{r!.(n-r)!}$  ...............(ii)

Since (i) and (ii) have the same simplified expressions,

$\\ n_{C_{r} } = n_{C_{n-r} }$

Hence, proved.

We have,    $8_{C_{5} }$ = $8_{C_{(8-5)} }$ = $8_{C_{3} }$

Similarly,

$10_{C_{6} }$ = $10_{C_{(10-6)} }$ = $10_{C_{4} }$