A group of health care providers consists of 4 doctors, 3 dentists, and 5 nurses. How many combinations of 2 health care providers of differ

Question

A group of health care providers consists of 4 doctors, 3 dentists, and 5 nurses. How many combinations of 2 health care providers of different types are possible?

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Julia 2 weeks 2021-11-16T05:17:13+00:00 1 Answer 0 views 0

Answers ( )

  1. Emma
    0
    2021-11-16T05:18:19+00:00

    The number of combinations of 2 health care providers of different types possible are 47.

    Explanation:

    Doctors = 4

    Dentists = 3

    Nurses = 5

    combinations of two different health care providers = ?

    Combination would be = ⁴C₁ X ³C₁ + ³C₁ X ⁵C₁ + ⁴C₁ X ⁵C₁

    ⁿCₐ = n! / ( n – a )!  X a!

    So on calculating the combination we get,

    = 4 X 3 + 3 X 5 + 4 X 5

    = 12 + 15 + 20

    = 47

    Therefore, the number of combinations of 2 health care providers of different types possible are 47.

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