HSC Science (General) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

There are 20 straight lines in a plane so that no two lines are parallel and no three lines are concurrent. Determine the number of points of intersection

Ten points are plotted on a plane. Find the number of straight lines obtained by joining these points if no three points are collinear

Ten points are plotted on a plane. Find the number of straight lines obtained by joining these points if four points are collinear

Find the number of triangles formed by joining 12 points if no three points are collinear

Find the number of triangles formed by joining 12 points if four points are collinear

A word has 8 consonants and 3 vowels. How many distinct words can be formed if 4 consonants and 2 vowels are chosen?

Find n if ⁿC₈ = ⁿC₁₂ 

Find n if ²³C_3n = ²³C_2n+3 

Find n if ²¹C_6n = `""^21"C"_(("n"^2 + 5))` 

Find n if ²ⁿC_r–1 = ²ⁿC_r+1 

Find n if ⁿC_n–2 = 15

Find r if ¹¹C₄ + ¹¹C₅ + ¹²C₆ + ¹³C₇ = ¹⁴C_r

Find the value of `sum_("r" = 1)^4 ""^((21 - "r"))"C"_4`

Find the differences between the greatest values in the following:

¹⁴C_r and ¹²C_r 

Find the differences between the greatest values in the following:

¹³C_r and ⁸C_r

Find the differences between the greatest values in the following:

¹⁵C_r and ¹¹C_r 

In how many ways can a boy invite his 5 friends to a party so that at least three join the party?

A group consists of 9 men and 6 women. A team of 6 is to be selected. How many of possible selections will have at least 3 women?

A committee of 10 persons is to be formed from a group of 10 women and 8 men. How many possible committees will have at least 5 women? How many possible committees will have men in majority?

A question paper has two sections. section I has 5 questions and section II has 6 questions. A student must answer at least two question from each section among 6 questions he answers. How many different choices does the student have in choosing questions?