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4 years ago

How many different words can be formed with the letters AAAABBCCD (not necessarily meaningful words)?

Physics

1 answer:

ruslelena [56]4 years ago

5 0

Answer:

90,720 words

Explanation:

The different ways in which a given number of n things or items can be arranged where all of the items are taken at the same time is known as ⁿPₙ which is the same as n factorial, n!

Therefore, the number of alphabets in the word AAAABBCCD = 9

Hence, the number of different words will exclude words where the 4 A, 2 Bs, and 2 Cs are together, and include the number of ways where the the grouped letters can be arranged among themselves as follows

9! × 4! /(4! × 2! × 2!) = 90,720 words

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