Quantitative Aptitude Permutation and Combination

A committee of five members is to be formed out of 3 Teachers, 4 Assistants and 6 Students. In how many ways can it be done so that the committee either has all 4 Assistants and 1 Student or all 3 Teachers and 2 Assistants?

1
18
2
6
3
12
4
24
5
8

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