HELP MATH PLEASE?

There are 20 athletes and 30 non athletes. A group of 10 must be made. How many if non restricted? How many if half from each? How much if 7 athletes and 3 non athletes? Use combos and permutations and Pascal’s triangle 

3 Answers

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  • 3 weeks ago

    Non restricted = 50C10 = 50!/[(40!)(10!)] = 10,272,278,170.

    If half from each = 20C5 * 30C5 = (20!)(30!)/[(25!)(15!)(5!)^2] = 2,209,413,024.

    if 7 athletes and 3 non athletes = 20C7 * 30C3 = (20!)(30!)/[13!)(7!)(27!)(3!) = 314,731,200.

  • 3 weeks ago

    Q1: How many if non restricted?

    A: From all 50 choose 10

    C(50,10)

    Q2: How many if half from each?

    A: From 20 choose 5 and from 30 choose 5

    C(20,5) * C(30,5)

    Q3: How many if 7 athletes and 3 non athletes?

    A: From 20 choose 7 and from 30 choose 3

    C(20,7) * C(30,3)

    P.S. You can double check your answers with Google. For example, type "20 choose 7 * 30 choose 3"

  • 3 weeks ago

    If unrestricted, 50c10

    If half and half, 30c5 * 20c5

    If seven athletes, 20c7 * 30c3

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