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.
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2022-12-01 16 players \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \ldots \ldots \mathrm{P}_{16} \) t... 2022-12-01 16 players \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \ldots \ldots \mathrm{P}_{16} \) t... 2022-12-01 The number of three digit numbers having only two consecutive digits identical is :
(A) 153
(B) ... 2022-12-01 16 players \( \mathrm{P}_{1}, \mathrm{P}_{2}, \mathrm{P}_{3}, \ldots \ldots . \mathrm{P}_{16} \)... 2022-12-01 The combinatorial coefficient \( { }^{\mathrm{n}-1} \mathrm{C}_{\mathrm{p}} \) denotes
(A) the 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 radius \( R_{h} \) and mass \( M_{h} \) of a black hole are related by \( R_{h}=2 G M_{h} / ... 2022-12-01 In a certain strange language, words are written with letters from the following six-letter alph... 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 There are 10 questions, each question is either True or False. Number of different sequences of ... 2022-12-01 The combinatorial coefficient \( C(n, r) \) is equal to
(A) number of possible subsets of \( r \... 2022-12-01 Two classrooms A and B having capacity of 25 and \( (n-25) \) seats respectively. \( A_{n} \) de... 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 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 Number of rectangles in the grid shown which are not squares is (A) 160 (B) 162 (C) 170 2022-12-01 शैल क्रमक की विभिन्न अवस्थाओं के नाम लिखिए। 2022-12-01 Consider a complex number \( w=\frac{z-i}{2 z+1} \), where \( z=x+ \) iy and \( x, y \in R \).
P... 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 The rate of effusion of \( \mathrm{N}_{2} \) at \( T^{\circ} \mathrm{C} \) is \( 1.625 \) times ... 2022-12-01 Error While Mathpix