$m=40$, $m_t=10$, $m_s=15$, $m_b=12$,
$m_{ts}=5$, $m_{tb}=4$, $m_{sb}=3$, $m_{tsb}=2$.
$m_{ts}^*=\text{number playing tennis and squash only}$
$m_{ts}^*=m_{ts}-m_{tsb}=5-2=3$
$m_{tb}^*=m_{tb}-m_{tsb}=4-2=2$;
$m_{sb}^*=m_{sb}-m_{tsb}=3-2=1$.
$m_t^*=\text{number playing tennis only}$
$m_t^*=m_t-(m^*_{ts}+m^*_{tb}+m_{tsb}) = m_t-m_{ts}-m_{tb}+m_{tsb}$
$=10-5-4+2=3$
$m_s^*=m_s-m_{ts}-m_{sb}+m_{tsb}=15-5-3+2=9$
$m_b^*=m_b-m_{tb}-m_{sb}+m_{tsb}=12-4-3+2=7$
$m'=\text{number playing some sport}$
$m'=m_t^*+m_s^*+m_b^*+m_{ts}^*+m_{tb}^*+m_{sb}^*+m_{tsb}=27$
$m^*=\text{number playing no sport}$
$m^*=m-m_t^*-m_s^*-m_b^*-m_{ts}^*-m_{tb}^*-m_{sb}^*-m_{tsb}=13$

$m^*=m-m_t-m_s-m_b+m_{ts}+m_{tb}+m_{sb}-m_{tsb}=13$
$\text{number playing tennis or squash}=m_t+m_s-m_{ts}=20$
$\text{number playing tennis or badminton}=m_t+m_b-m_{tb}=18$
$\text{number playing squash or badminton}=m_s+m_b-m_{sb}=24$