Get 2 FREE Instant-Explanations on Filo with code FILOAPP

There are 5 red, 4 white and 3 blue marbles in a bag. They are

Question

There are $5$ red, $4$ white and $3$ blue marbles in a bag. They are drawn one by one and arranged in a row. Assuming that the $12$ marbles are drawn, determine the number of different arrangements.

27720

Views: 698 students

Found 7 tutors discussing this question

Oliver Discussed

There are

5

red,

4

white and

3

blue marbles in a bag. They are drawn one by one and arranged in a row. Assuming that the

12

marbles are drawn, determine the number of different arrangements.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

Using the formula for arrangements of

n

objects of which there might be groups of indistinguishable objects.

In this example,

12

marbles, consisting of indistinguishable groups of

4

white,

5

red, and

3

blue marbles.

Number of ways

= \frac{12 !}{5 ! \times 4 ! \times 3 !} = 27720

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	There are $5$ red, $4$ white and $3$ blue marbles in a bag. They are drawn one by one and arranged in a row. Assuming that the $12$ marbles are drawn, determine the number of different arrangements.
Answer Type	Text solution:1
Upvotes	150