(Q). In how many ways 15 students can be seated on 20 seats in a row ?Sol:- First select then arrange15 seats can be selected out of 20 seats in ²⁰C₁₅ ways. Now 15 students can be arranged in these 15 seats in 15! ways.Hence total number of ways = ²⁰C₁₅.15! ...
(Q). How many regular polygons can be formed by joining the vertices of a 36 sided regular polygon?Sol:- Since polygon is regular, so all its 36 vertices lie on a circle & are equidistant to its adjacent vertices.now consider 36 sided regular polygon.a new regular...
(Q). In how many ways two queens can be placed on a 8×8 chess board such that they are not able to attack each other (Queens can attack in the same row/column/diagonal)? (i). one queen is black & other queen is white (ii). both queens are identical. Solution:- we...
(Q). In how many ways two identical kings can be placed on a 8×8 chess board such that they are not on adjacent squares? Solution:- From the solution of previous question number of ways = 3612 (When kings are distinguishable) now in this question kings are...
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