as part of a quality-control program, 4 batteries from a box of 13 is chosen at random for testing. in how many ways can this test batch be chosen? a) 17,160 b) 24 c) 52 d) 4 e) 715 f) none of the above.

Respuesta :

The number of ways can this test batch be chosen is 2380 ways  of combination.

Give an example of permutation and combination?

  • Permutations include the arrangement of individuals, digits, numbers, alphabets, letters, and colors.
  • Examples of combinations include choosing a menu, food, outfit, subject, and team.

Calculation of the number of ways:

Since As part of a quality-control program, 4 batteries from a box of 17 is chosen at random for testing.

Here we used the combination

So,

        = 17!/4!(17 - 4 )!

         = 17!/4! * 13!

          = 17 * 16 * 15 * 14 * 13/4! * 3!

          = 2380 ways

Therefore, The number of ways can this test batch be chosen is 2380 ways.

Learn more about permutation and combination

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