Answer
$ 1.157\times10^{76}$
Work Step by Step
Use the combination formula, we have the total ways as
$C(100,22)C(78,13)C(65,10)C(55,5)C(50,16)C(34,17)C(17,17)=1.157\times10^{76}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.