Question

The number of terms in the expansion of (a + b + c)25 is?? ​

Answer 1

Answer:

17550

Step-by-step explanation:

N= 25

r= 3

No. of terms in the expansion of a + b + c)^25

(N+r-1)C(r+1)

= (25+3-1)C(3+1)

=27C4

=27*26*25= 17550

Answer 2

Step-by-step explanation:

What is the number of distinct terms in the expansion of (a + b + c)20?

210

231

242

253

Answer

Number of terms in the given expansion is nothing but the non-negative integral solutions of the equation:

a + b + c = 20

Total number of non-negative integral solutions

(20+3-1)C(3-1) = 22C2 = 231