The Delta Secret Philosophy society has just recruited three football players, two nerds, and fourcomputer geeks. Big Nico picks four of the

Question

The Delta Secret Philosophy society has just recruited three football players, two nerds, and fourcomputer geeks. Big Nico picks four of these new members at random for the philosophical discussion team.

(a) How many different sets of four new members are possible?
(b) How many of those sets of 4 contain both nerds and two computer geeks?

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Audrey 2 weeks 2022-01-06T23:03:43+00:00 1 Answer 0 views 0

Answers ( )

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    2022-01-06T23:04:46+00:00

    Answer:

    126,168

    Step-by-step explanation:

    Given that the Delta Secret Philosophy society has just recruited three football players, two nerds, and fourcomputer geeks. Big Nico picks four of these new members at random for the philosophical discussion team.

    a) Out of 9 persons 4 new members can be selected at random in

    9C4 ways

    = 126

    b) There shouldbe atleast one nerd and one computer geek for this

    i.e. for the four, 1 nerd and one geek should be compulsorily selected with remaining 2 randomly from the remains 7 persons

    One nerd can be selected from 2 nerds in 2 ways

    One geek can be selected from 4 geeks in 4 ways

    Remaining 2 can be selected frm remaining 7 in 7C2 ways

    So no of ways=2*4*7C2\\= 8 * 21\\=168

    168 ways

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45:7+7-4:2-5:5*4+35:2 =? ( )