1. Tardigrade
  2. Question
  3. Mathematics
  4. A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then b +3 g is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A class contains $b$ boys and $g$ girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then $b +3 g$ is equal to

JEE MainJEE Main 2022Permutations and Combinations

Solution:

$ { }^{ b } C _3 \times{ }^{ g } C _2=168 $
$ b ( b -1)( b -2)( g )( g -1)=8 \times 7 \times 6 \times 3 \times 2$
$b +3 g =17$