${ }_{86} A^{222} \longrightarrow { }_{84} B^{210}$
Decrease in mass number $=222-210$
$=12$
$\therefore $ Number of $\alpha$-particles emitted
$=\frac{12}{4}=3$
${ }_{86} A^{222} \longrightarrow { }_{80} X^{210} \longrightarrow { }_{84} B ^{210}$
Increase in atomic number $=84-80=4$
$\therefore $ Number of $\beta$-particles emitted $=4$