Question

(i) The no.of distinct terms in the expansion of $(x_1+x_2+\dots .+x_n{)}^3$ is $n+2c_3$

(ii) The no. of irrational terms in the expansion $(2^{1/5}+3^{1/10}{)}^{55}$ is $55$

• A. (i) is true (ii) is false
• B. both (i) and (ii) are true
• C. both (i) and (ii) are false
• D. (i) is false (ii) is true

Answer 1

The correct option is A (i) is true (ii) is false

Basic questions. ${}^{n+r-1}{C}_r$ is $1^{st}$ one and $2^{nd}$ is $\frac{55}{l}l,(5,10)+1$ which is $6$, hence is wrong.