The combinatorial coefficient \( C(n, r) \) is equal to
(A) number of possible subsets of \( r \... VIDEO
The combinatorial coefficient \( C(n, r) \) is equal to
(A) number of possible subsets of \( r \) members from a set of \( n \) distinct members.
(W)
(B) number of possible binary messages of length \( \mathrm{n} \) with exactly \( \mathrm{r} \) 1s.
(C) number of non decreasing 2-D paths from the lattice point \( (0,0) \) to \( (\mathrm{r}, \mathrm{n}) \).
(D) number of ways of selecting \( \mathrm{r} \) things out of \( \mathrm{n} \) different things when a particular thing is always included plus the number of ways of selecting \( r \) things out of \( n \), when a particular thing is always excluded.
ЁЯУ▓PW App Link - https://bit.ly/YTAI_PWAP
ЁЯМРPW Website - https://www.pw.live
Other Videos By PW Solutions 2022-12-01 16 players \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \ldots \ldots . \mathrm{P}_{16} \)... 2022-12-01 16 players \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \ldots \ldots \mathrm{P}_{16} \) t... 2022-12-01 Number of ways in which 3 numbers in A.P. can be selected from \( 1,2,3, \ldots \ldots \mathrm{n... 2022-12-01 Six married couple are sitting in a room. Find the number of ways in which 4 people can be selec... 2022-12-01 The number of three digit numbers having only two consecutive digits identical is :
(A) 153
(B) ... 2022-12-01 In a certain strange language, words are written with letters from the following six-letter alph... 2022-12-01 рдкреНрд░рджреВрд╖рдг рд╕реЗ рдХреНрдпрд╛ рдЕрднрд┐рдкреНрд░рд╛рдп рд╣реИ? 2022-12-01 Let \( \mathrm{z}_{1}=1+\mathrm{i} \) and \( \mathrm{z}_{2}=-1-\mathrm{i} \). Find \( \mathrm{z}... 2022-12-01 There are 10 questions, each question is either True or False. Number of different sequences of ... 2022-12-01 \( \sin \theta \cos \left(90^{\circ}-\theta\right)+\cos \theta \sin \left(90^{\circ}-\theta\righ... 2022-12-01 The combinatorial coefficient \( C(n, r) \) is equal to
(A) number of possible subsets of \( r \... 2022-12-01 Lines \( y=x+i \& y=-x+j \) are drawn in \( x-y \) plane such that \( i \in\{1,2,3,4\} \& j \in\... 2022-12-01 рдпрджрд┐ \( \cos \theta=\frac{1}{\sqrt{2}} \), рддреЛ \( \left(\tan ^{2} \theta+1\right) \) рдХрд╛ рдорд╛рди рдЬреНрдЮрд╛рдд ... 2022-12-01 Number of rectangles in the grid shown which are not squares is (A) 160 (B) 162 (C) 170 2022-12-01 The number of ways of choosing a committee of 2 women \& 3 men from 5 women \& 6 men, if Mr. A r... 2022-12-01 Two classrooms A and B having capacity of 25 and \( (n-25) \) seats respectively. \( A_{n} \) de... 2022-12-01 рддреНрд░рд┐рдХреЛрдгрдорд┐рддреАрдп рд╕рд╛рд░рдгреА рдХрд╛ рдмрд┐рдирд╛ рдкреНрд░рдпреЛрдЧ рдХрд┐рдП, рд╕рд┐рджреНрдз рдХреАрдЬрд┐рдП \[ \sin ^{2} 32^{\circ}+\sin ^{2} 58^{\circ}=1 \] 2022-12-01 There are 10 straight lines in a plane, such that no 3 are concurrent and no 2 are parallel to e... 2022-12-01 There are \( \mathrm{m} \) points on a straight line \( \mathrm{AB} \& \mathrm{n} \) points on t... 2022-12-01 Error While Mathpix 2022-12-01 A committee of 5 is to be chosen from a group of 9 people. Number of ways in which it can be for...