MCQ
If the co - efficient of x in $\Big(\text{x}^2+\frac{\lambda}{\text{x}}\Big)^5$is 270, then $ \lambda=$
- A3
- B4
- C5
- DNone of these
Solution:
Now, the co - efficient of x in $\Big(\text{x}^2+\frac{\lambda}{\text{x}}\Big)^5$is ${^6}\text{C}_{3}\cdot(\lambda)^3$or $10(\lambda)^3.$
According to the problem $10(\lambda)^{3}=270,$ or $(\lambda)=3.$
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Every body in a room shakes hands with everybody else. The total number of hand shakes is 66. The total number of persons in the room is.