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A committee must be formed with 2 teachers and 4 students. If there are 11 teachers to choose from, and 16 students, how many different ways could the committee be made?



Answer :

The number of ways to select 2 teachers from 11 teachers are,

[tex]11C_2[/tex]

The number of ways in which 4 students can be selected from 16 students are,

[tex]16C_4[/tex]

The, the total number of ways in which the committe can be formed is,

[tex]\begin{gathered} n=11C_2\times16C_4 \\ n=55\times182 \\ n=10010 \end{gathered}[/tex]

Thus, the answer is 10010.

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