If \( \mathrm{N} \) is the number of ways dividing \( 2 \mathrm{n} \) people into \( \mathrm{n} ....
If \( \mathrm{N} \) is the number of ways dividing \( 2 \mathrm{n} \) people into \( \mathrm{n} \)
\( \mathrm{P} \)
couples then
W.
(1) \( 2^{n} N=(2 n) \) !
(2) \( N /(n !=(1.3 .5 \ldots . .(2 n-1)) \)
(3) \( N={ }^{2 n} C_{n} \)
(4) \( 2^{n} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
2024-01-22 | A straight is a five card hand containing consecutive values. If \( m= \) the number of ways in .... |
2024-01-22 | If \( m= \) the number of natural numbers lying between 100 and 1000 that can be formed by using.... |
2024-01-22 | The coefficient of second term in the binomial
expansion of \( \left(x^{2}+\frac{3}{x^{6}}\right.... |
2024-01-22 | Consider all possible permutations of the letters of the word ENDEANOEL.
Match the statement/Exp.... |
2024-01-22 | Letters of the word SUDESH can be arranged in.... |
2024-01-22 | Match the statement of Column I with the value of Column II.
\begin{tabular}{|c|c|c|c|}
\hline \.... |
2024-01-22 | \( \underline{\text { Passage }} \)
Consider the number \( N=2910600 \).
W.
On the basis of abov.... |
2024-01-22 | If \( { }^{n} C_{4},{ }^{n} C_{5} \) and \( { }^{n} C_{6} \) are in A.P., the value of \( n \) c.... |
2024-01-22 | \( \underline{\text { Passage }} \)
Consider the number \( N=2910600 \).
On the basis of above i.... |
2024-01-22 | Match the trigonometric equations given under List I with their respective general solutions giv.... |
2024-01-22 | If \( \mathrm{N} \) is the number of ways dividing \( 2 \mathrm{n} \) people into \( \mathrm{n} .... |
2024-01-22 | The letters of the word SURITI are written in all
possible orders and these words are written ou.... |
2024-01-22 | The number of ways in which we can select four numbers from 1 to 30 so as to exclude every selec.... |
2024-01-22 | A candidate is required to answer 6 out of 10 questions which are divided into two groups, each
.... |
2024-01-22 | Ten different letters of an alphabet are given. Words with five letters are formed from these gi.... |
2024-01-22 | Match the equations given under List I with their respective numbers of solutions given under Li.... |
2024-01-22 | If the identity \( \frac{m !}{x(x+1)(x+2) \ldots . .(x+m)}=\sum_{i=0}^{m} \frac{A_{i}}{x+i} \),
.... |
2024-01-22 | The number of six-digit numbers which have sum of their digits as an odd integer, is.... |
2024-01-22 | The number of integral solutions of \( x+y+z=0 \) with \( x \geq-5, y \geq-5, z \geq-5 \) is.... |
2024-01-22 | Consider all \( 2^{n}-1 \) non-empty subsets of the set \( \{1,2 \), \( \ldots . ., n\} \). For .... |
2024-01-22 | The number of ordered pairs \( (\alpha, \beta) \), where \( \alpha, \beta \in[0 \),
\( 2 \pi] \).... |