# How many 4 letter words with or without can be formed out of the letter of the word Olympiad if repetition of letter is not allowed?

## How many 4 letter words with or without can be formed out of the letter of the word Olympiad if repetition of letter is not allowed?

= 60. How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed ? Explanation: ‘LOGARITHM’ contains 10 different letters.

**How many 3 letter words with or without means signature if repetition is not allowed?**

720 3-letter Words can be formed with or without meaning, out of the letters of the word, ‘logarithms’ if repetition of letters is not allowed. = 3!

**How many different 3 letter codes can be created from the first 8 letters of the alphabet no letters can repeat?**

Answer and Explanation: Before a 3-letter code can be created, 3 letters must be chosen from the 8 letters. The number of ways in which this can be is 8C3=56 8 C 3 = 56 .

### How many combinations of ABC are there?

Think of the letters ABC as glued together. Thus we really have six objects, namely, the super- letter ABC, and the individual letters D, E, F, G, and H. Because these six objects can occur in any order, there are 6! = 720 permutations of the letters ABCDEFGH in which ABC occurs as a block.

**How many ways can 4 digits be arranged?**

Since the first digit of any number can’t be 0, there are 3 choices for the first digit. Since no digits can be repeated, the number of choices for the second, third, and fourth digits will be 3, 2, and 1, respectively. Thus, the number of ways a 4-digit number can be formed is 3 x 3 x 2 x 1 = 18.