Most Important Selected Qs for JEE AdvancedMathematicsPermutation and Combination
Which of the following statements is/are true -
Options
- AExponent of 11 in 2009 ! is 199
- BThe total number of triangles that can be formed by joining any 3 points, from vertices and the centre of a re
- CThe number of quadrilaterals that can be constructed by joining any four vertices of a dodecagon (polygon with
- DThe total number of different selections of at least one letter from IITJEE are 35
Correct answer
D. The total number of different selections of at least one letter from IITJEE are 35
Step-by-step solution
Ans. (A,C,D) (A) aligned & [ 2009 11 ]+ [ 2009 11^2 ]+ [ 2009 11^3 ] & =182+16+1=199 aligned (B) ^9 C ₄-4=122 (C) ¹² C ₁ ¹²⁻⁴⁻¹ C _ 4-1 4 =105 (D) (2+1)(1+1)(1+1)(2+1)-1=35