Answer:

Answer:

There are 1,108,800 possible permutations.

Step-by-step explanation:

Step 1: Count the number of letters the PHILIPPINES have

PHILIPPINES consists of 11 letters in total

Step 2: Identify the distinct letters and determine how many of it is present in the given word

1. P- 3
2. H- 1
3. I- 3
4. L-1
5. N-1
6. E-1
7. S-1

Step 3: Solve for the total number of distinct arrangements

total number of letters= 11

total number of distict arrangements= \frac{11!}{3!*1!*3!*1!*1!*1!*1!}totalnumberofdistictarrangements=

3!∗1!∗3!∗1!∗1!∗1!∗1!

11!

total number of distinct arrangements=1,108,800totalnumberofdistinctarrangements=1,108,800

Note: The sum of the numbers listed in the denominator should be equal to the numerator.

Therefore, the total number of distinct arrangements for the PHILIPPINES is 1,108,800.