(Q). In how many ways 2 + and 2 – signs are filled into 4×4 cell where each cell can contain maximum one character such that each row & column can not contain same sign...
(Q). Let Tₙ be the number of all possible triangles formed by joining vertices of an n – sided regular polygon. if Tₙ₊₁ – Tₙ = 10, then what will be the value of n? Solution:- As per the given conditionⁿ⁺¹C₃ – ⁿC₃ = 10we know that ⁿCᵣ + ⁿCᵣ ₋ ₁ = ⁿ...
(Q). A rectangle with sides 2n-1 and 2m-1 is divided into squares of unit length by drawing parallel lines as shown in the diagram, then the number of rectangles possible with odd side length is?Solution:-...
we have following cases in this question:-case (i): if one point is selected from each side then number of triangle is = 3×4×5 = 60case (ii): if one point is selected from one side and 2 points from another side then number of ways is= ³C₂×(4 + 5) + ⁴C₂×(5+3)...
(Q). 150 circles are drawn on a plane. What is the maximum number of regions made by this system of 150 circles?Solution:-we know the formula that if number of circle is n then number of regions is n(n-1) + 2Hence when number of circles is 150 thn maximum regions is=...
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