Question -
Answer -
We know that if nCp = nCq,then one of the following conditions need to be satisfied:
(i) p = q
(ii) n = p + q
So from thequestion 24Cx = 24C2x + 3,we can say that
Let us check forcondition (i)
x = 2x + 3
2x – x = -3
x = -3
We know that for acombination nCr, r≥0, r should be a positive integerwhich is not satisfied here,
So, the condition (ii)must be satisfied,
24 = x + 2x + 3
3x = 21
x = 21/3
x = 7
∴ The value of xis 7.