Question:
How many 4-letter codes can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?
Solution:
Given: first 10 letters of the English alphabet.
In 4 letter code for first position there are 10 possibilities for second position there are 9 possibilities, for third position there are 8 possibilities and for fourth position there are 7 possibilities since repetition is not allowed.
So total numbers of combination $=10 \times 9 \times 8 \times 7=5040$