Mixed Problems
Mixed Problems On Permutation And Combinations
Let us consider some practical problem where both permutations and combination are used.
Illustration: Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?
Solution Three consonants out of 7 and 2 vowels out of 4 can be chosen in
ways.
Thus, there are groups each containing 3 consonants and 2 vowels.
Since each group contains 5 letters, which can be arranged among themselves in 5! ways.
Hence, the required number of words =
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