How many Terms does the binomil expansion on (X^2+2y^4)^25 have?

a.23
b.24
c.25
d.26
e.27

To determine the number of terms in the binomial expansion of (X^2 + 2y^4)^25, we can use the binomial theorem. According to the theorem, the number of terms in the expansion is given by (n+1), where n is the exponent of the binomial.

In this case, the exponent of the binomial is 25, so we can deduce that the expansion will have (25+1) = 26 terms.

Therefore, the correct answer is (d) 26.