Question

How many 3 letter words can be formed using letters of the word ineffective?

Answer 1

Answer:

fit,tin,fin,Eve,net,ten

Answer 2

Given:

The word = ineffective

To find:

How many 3 letter words can be formed using the letters of the given word,

Solution:

The total number of letters in the word ineffective = 11

Letters that are repeated two times = i and f

Letters that are repeated three times = e

Letters that are not repeated = n, c, t and v

A word of three letters can be formed in the following ways:

All different letters (⁷P₃ )

or 2 same and 1 different letter (³C₁ * ⁶C₁ )

or 3 same letters (¹C₁)

The probability would be:

⁷P₃ + ³C₁ * ⁶C₁ + ¹C₁ = 210 + 18 + 1 = 229 ways

Therefore the number of ways possible will be 229.