Go To Your Study Dashboard

Get Answers to all your Questions

header-bg

A committee of $11$ members is to be formed from $8$ males and $5$ females. if $m$ is the number of ways the commitee is formed with at least $6$ males and $n$ is the number of ways the commitee is formed with at least $3$ females, then :

Option 1)
$m+n=68$

Option 2)
$m=n=78$

Option 3)
$n=m-8$

Option 4)
$m=n=68$

Answers (1)

best_answer

$m=\left ( 6M,5F \right )+\left ( 7M,4F \right )+\left ( 8M,3F \right )$

$=^{8}C_{6}\times^{5} C_{5}+^{8}C_{7}\times^{5} C_{4}+^{8}C_{8}\times ^{5}C_{3}$

$=78$

$m=\left ( 3F,8M \right )+\left ( 4F,7M \right )+\left ( 5F,6M \right )$

$=^{5}C3\times ^{8}C_{8}+^{5}C_{4}\times^{8} C_{7}+^{5}C_{3}\times^{8} C_{3}$

$=78$

$m=n=78$

Option 1)

$m+n=68$

Option 2)

$m=n=78$

Option 3)

$n=m-8$

Option 4)

$m=n=68$

Posted by

solutionqc

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

BTech aspirant from north-east or UT? Apply for CSAB NEUT counselling 2025 today

anam-khan

JoSAA round 2 cut-off 2025 out; BTech closing ranks for top engineering courses at IITs

anam-khan

Goa Engineering Admission 2025: 1,415 eligible for BE seats; merit list on June 27

Latest Question