Permutation TI-84 | TI-83 Example


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Joestat wants to help you solve the following Permutation example problem using your TI-84 or TI-83 calculator.
Problem 1 : 5 of the movies of the 8 are selected.  How many ways can  of the 5 movies be selected?
Problem 2 : How many ways can the letters of Mississippi be arranged?

Problem 1 : Solution

First verify the example problem is a permutations:

  1. Selecting a number of objects (r) from the the total (n)
    Without Replacement
    (Check)
  2. Order Matters
    (Check)
  3. Items are distinguishable from another.
    (TYPE)  Use:

n = 8
r = 5

Permutation alternative notation \\frac{n!}{n_1!n_2!n_3! \\cdot \\cdot\\cdot n_k!}

Using the TI-84 or TI-83 calculator to compute the permutation:

| [ 8 ] | [MATH] | [ < ] | [ 2 ] | [ 5 ] | [ENTER] |

Permutation TI-83 or TI-84

Problem 2 : Solution

First verify the example problem is a permutations:

  1. Selecting a number of objects (r) from the the total (n)
    Without Replacement
    (Check)
  2. Order Matters
    (Check)
  3. Items all items are distinguishable from another.
    (TYPE) Use:

n1=1
n1=1    (number of M(s) in Mississippi)
n2=4   (number of i(s) in Mississippi)
n3=4   (number of s(s) in Mississippi)
n4=2   (number of p(s) in Mississippi)

permutation-notation-2

Permutation  \\frac{11!}{1!4!4!2!}

Using the TI-84 or TI-83 calculator to compute the permutation not all items distinguishable from another:

| [ 1 ] | [ 1 ] | [MATH] | [ < ] | [ 4 ] |  [ / ] | [ ( ] | [ 1 ] | [MATH] | [ < ] | [ 4 ] | [ 4 ] | [MATH] | [ < ] | [ 4 ]  | [ 4 ] | [MATH] | [ < ] | [ 4 ]  | [ 2 ] | [MATH] | [ < ] | [ 4 ] |  [ ) ] | [ENTER] |

Congratulations, you have successfully completed the two basic types of permutations with in this Permutation TI-84 | TI-83 example problem.


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Last Modified on September 7, 2013 by JoeStat

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