Question

Test III How many different uays can the letters of each word be arranged? 16. PHILIPPINES 17. MISSISSIPPI

Answer 1

The number of different ways the letters of a word can be arranged can be found using the formula for permutations, n!. For 'PHILIPPINES', there are 12 letters, so the number of permutations is 12!. For 'MISSISSIPPI', there are 11 letters, so the number of permutations is 11!.

Step-by-step explanation:

To find the number of different ways the letters of a word can be arranged, we use the formula for permutations. The number of permutations of a word with n letters is n!. In this case:

For 'PHILIPPINES', there are 12 letters, so the number of permutations is 12!.

For 'MISSISSIPPI', there are 11 letters, so the number of permutations is 11!.

Using a calculator, we can calculate the exact values: 12! is approximately 479,001,600 and 11! is approximately 39,916,800.