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There are unlimited number of identical balls of four differen

Question

There are unlimited number of identical balls of four different colors. How many arrangements of at most $8$ balls in a row can be made by using them?

21845

87380

262140

none of these

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There are unlimited number of identical balls of four different colors. How many arrangements of at most

8

balls in a row can be made by using them?

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14 mins ago

Text solutionVerified

4

diffrent colours

8

balls in a row .

\Rightarrow

Number of ways

= (4)^{8} + (4)^{7} + (4)^{6} + (4)^{5} + (4)^{4} + (4)^{3} + (4)^{2} + (4)^{1} = \frac{( 4 ) ^{9} - 4}{4 - 1} = \frac{262140}{3} = 87380

Therefore number of ways

= 87380

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Question Text	There are unlimited number of identical balls of four different colors. How many arrangements of at most $8$ balls in a row can be made by using them?
Answer Type	Text solution:1
Upvotes	150