2 American couple 3 Indian couple are to be seated on a round table. Let m denotes the number of ways when husband wife from an Indian couple are together and n denotes the number of ways when husband wife of a couple are together. Find (m-n).

Question

2 American couple 3 Indian couple are to be seated on a round table. Let m denotes the number of ways when husband wife from an Indian couple are together and n denotes the number of ways when husband wife of a couple are together. Find (m-n). (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/1b939ba4e79b27a174c6dfac2129e79b-.png" /> m - n =23 ⋅ 4 ![30-4] =8 ⋅ 24 ⋅ 26=4992

Q. $2$ American couple $&3$ Indian couple are to be seated on a round table. Let $m$ denotes the number of ways when husband $&$ wife from an Indian couple are together and $n$ denotes the number of ways when husband $&$ wife of a couple are together. Find $(m - n)$ .

$m - n = 2^{3} \cdot 4! [30 - 4]$
$= 8 \cdot 24 \cdot 26 = 4992$

Q. 2 American couple &3 Indian couple are to be seated on a round table. Let m denotes the number of ways when husband & wife from an Indian couple are together and n denotes the number of ways when husband & wife of a couple are together. Find (m−n).

m−n=23⋅4![30−4] =8⋅24⋅26=4992

Q. $2$ American couple $&3$ Indian couple are to be seated on a round table. Let $m$ denotes the number of ways when husband $&$ wife from an Indian couple are together and $n$ denotes the number of ways when husband $&$ wife of a couple are together. Find $(m - n)$ .

$m - n = 2^{3} \cdot 4! [30 - 4]$
$= 8 \cdot 24 \cdot 26 = 4992$