ID: Class: 12 Subject: Math Topic: Matrices Type: Long (LA) Year: 2025

Question:

A school wants to allocate students into three clubs: Sports, Music and Drama, under following conditions:

• The number of students in Sports club should be equal to the sum of the number of students in Music and Drama club.

• The number of students in Music club should be 20 more than half the number of students in Sports club.}

• The total number of students to be allocated in all three clubs are 180.

Find the number of students allocated to different clubs, using matrix method.