First slide
Combinations
Question

The number of ways in which 30 marks can be alloted to 8 questions if each question carries at least 2 marks, is

Moderate
Solution

Required number = coefficient of x30 in (x2 + x3 + … + x16)8

                           = coefficient of x30 in x161+x++x148= coefficient of x14 in 1x151x8= coefficient of x14 in (1x)8=21C14=116280

Get Instant Solutions
When in doubt download our app. Now available Google Play Store- Doubts App
Download Now
Doubts App