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In how many ways 4 different white balls...

In how many ways 4 different white balls and 6 different black balls be arranged in a row that no two white balls are together ?

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To solve the problem of arranging 4 different white balls and 6 different black balls in a row such that no two white balls are together, we can follow these steps: ### Step-by-Step Solution: 1. **Arrange the Black Balls:** First, we arrange the 6 different black balls. The number of ways to arrange these black balls is given by the factorial of the number of balls, which is: \[ 6! = 720 ...
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AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself
  1. If ""^(n)C(10)=""^(n)C(13) , then find the value of ""^(n)C(2)

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  2. If ""^(15)C(x)=""^(15)C(x+3) , then find the value of X.

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  3. Find ""^(18)C(3)+^(18)C(2)

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  4. Verify that ""^(9)C(5)+""^(9)C(4)=""^(10)C(5)

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  5. If .^(n)C(r-1): .^(n)C(r): .^(n)C(r+1)=3:4:5, find the values of n and...

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  6. Prove that : (""^(n)C(r+1))/(""^(n)C(r))=(n-r)/(r+1)

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  7. In how many ways a committee of 7 members can be selected from 10 memb...

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  10. Find the number of sides of a polygon having 44 diagonals.

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