Question

Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. How many ways can this be done, if the order of the choices is not taken into consideration

Answer 1

Thus, the number of ways in which  to choose 4 letters, without replacement, from 17 distinct letters is 57,120.

Define the term permutation?

• The term permutation applies to a mathematical computation of a number of possible arrangements of a given collection.
• Simply said, a permutation is a term that defines the amount of different ways something can be organized or arranged.

Total distinct letters are 17.

There are 17 alternatives for the initial letter if there are 17 letters.

There are just 16 alternatives left once you remove the letter.

Each time you remove a letter, the bag contains one fewer letter.

Number of ways = 17 x 16 x 15 x 14

Number of ways =  57,120

Thus, if the sequence of the alternatives is irrelevant, there are 57,120 options.

To know more about the permutation, here

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