Selection of Letters

\hspace{-16}$In how many ways can the selection of $\bf{8}$ letters be done frm $\bf{24}$ letters\\\\ of which $\bf{8}$ are $\bf{'a'}$ and $\bf{8}$ are $\bf{'b'}$ and rest are unlike.

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158
Anik Chatterjee ·

24fact(8 fact)(8 fact)...??

1357
Manish Shankar ·

1._{0}^{8}\textrm{C}+2._{1}^{8}\textrm{C}+3._{2}^{8}\textrm{C}+4._{3}^{8}\textrm{C}+5._{4}^{8}\textrm{C}+6._{5}^{8}\textrm{C}+7._{6}^{8}\textrm{C}+8._{7}^{8}\textrm{C}+9._{8}^{8}\textrm{C}

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