Permutations/Combinations

[carebear]

The question is A code consists of 4 letters from the English alphabet and 3 letters from the Greek alphabet. There are 8 English letters and 6 Greek letters to choose from and repetition is not allowed. How many 7 letter codes are possible?I think order is important so am thinking 8P4 times 6P3 or is it 8C4 times 6C3.........Please help₈

 

[pka]

The question is A code consists of 4 letters from the English alphabet and 3 letters from the Greek alphabet. There are 8 English letters and 6 Greek letters to choose from and repetition is not allowed. How many 7 letter codes are possible?I think order is important so am thinking 8P4 times 6P3 or is it 8C4 times 6C3.........Please help₈

There are \(\displaystyle \binom{8}{4}\) ways to choose the English letters.

There are \(\displaystyle \binom{6}{3}\) ways to choose the Greek letters.

There are \(\displaystyle 7!\) ways to arrange the chosen letters.