Distinguishable Permutation and Combination

1. How many different ways of placing 4 balls in a row if we have 3 red and 1 blue?

• 4

• 12

• 20

• 24

2. Which of the following is the number of distinguishable permutations of the AAABBC

• 30

• 60

• 80

• 120

3. How many ways can you arrange the letters SCHOOL?

• 120

• 280

• 300

• 360

In how many ways can two blue marbles and four red marbles be arrange in a row?

• 30

• 20

• 15

• 5

In how many different ways can five red balls and two white balls

• 42

• 21

• 7

• 5

Find the number of ways of placing 12 balls in a row given that 5 are red, 3 are green and 4 are yellow.

• 27720

• 72720

• 27270

Find the number of distinguishable permutations of the letters in the word "MISSISSIPPI".

• 37650

• 34550

• 34650

How do you find the number of distinguishable permutations of the group of letters: A, A, G, E, E, E, M?

• 720

• 5040

• 120

In how many distinguishable ways can the digits in 511623201101 be written?

• 144

• 3960

• 32144

A toy chest contains six identical blue blocks, five identical yellow blocks, and nine identical red blocks. How many distinguishable arrangements of these blocks can be made?

• 77 597 525

• 77 597 520

• 87 597 520