Distinguishable Permutation

How many distinguishable permutations are there of the word "SUCCESS"?

• 360

• 5040

• 1260

• 420

The number of distinguishable permutations of the word "BANANA" is:

• 180

• 60

• 120

• 360

What is the number of distinguishable permutations of the word "MISSISSIPPI"?

• 5040

• 1260

• 34650

• 720

How many distinguishable arrangements can be made from the letters in the word "COMMITTEE"?

• 5040

• 1260

• 720

• 90

Determine the number of distinguishable permutations of the word "ALGORITHM".

• 5040

• 40320

• 2880

• 720

What is the formula for distinguishable permutations?

• n! + (n1! * n2! * ... * nk!)
• (n1! * n2! * ... * nk!) / n!
• n! - (n1! + n2! + ... + nk!)
• n! / (k₁! * k₂! * ... * k_r!)

You have 5 identical math books, 3 identical science books, and 2 identical history books. How many ways can you arrange them on a shelf?

• 2520
• 3600
• 1200
• 1000

In a conference, there are 6 identical attendees, 3 identical speakers, and 2 identical organizers. How many different ways can the group line up for a photo?

• 34650
• 50000
• 25000
• 12345

Which statement is true about distinguishable permutation?

• Distinguishable permutations only apply to unique items.
• The formula for distinguishable permutations ignores identical items.
• All permutations are distinguishable regardless of item similarity.
• The formula for distinguishable permutations accounts for identical items.

Which of the following situation illustrate distinguishable permutation?

• Organizing the fruits in 'apple, banana'
• Arranging the letters in the word 'AAB'
• Arranging the numbers in '123'
• Sorting the colors in 'RGB'