Question

The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word 'SYLLABUS' such that two letters are distinct and two letters are alike is ______.

Options

• 220

• 230

• 240

• 250

Answer 1

The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word 'SYLLABUS' such that two letters are distinct and two letters are alike is 240.

Explanation:

S `rightarrow` 2, L `rightarrow` 2, A, B, Y, U.

∴ Required number of ways = `""^2C_1 xx ""^5C_2 xx (4!)/(2!)` = 240.