Permutation and CombinationHard
Question
There are 12 points in a plane of which 5 are collinear. The number of distinct quadrilaterals which can be formed with vertices at these points is:
Options
A.2. 7P3
B.7P3
C.10 7C3
D.420
Solution
Total number of required quadrilateral
7C4 + 7C3 × 5C1 + 7C2 × 5C2
= 35 + 175 + 210 = 420 = 2 .7p3
7C4 + 7C3 × 5C1 + 7C2 × 5C2
= 35 + 175 + 210 = 420 = 2 .7p3
Create a free account to view solution
View Solution FreeMore Permutation and Combination Questions
Number of ways in which 9 different toys can be distributed among 4 children belonging to different age groups in such a...The three sides AB, BC and CA of any ᐃABC are having 3, 4, and 5 internal points respectively. Then the number of ...The number of different words formed with all the letters of the word ′MISISSIPI′ is-...The sum of numbers formed by the digits 1,3,5,7,9 is-...The number of words which can be formed by taking two same and two different letters from the letters of the word ′...