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A box contain 5 different red and 6 diff...

A box contain 5 different red and 6 different white balls. In how many ways can 5 balls be selected so that there are at least two balls of each colour ?

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To solve the problem of selecting 5 balls from a box containing 5 different red balls and 6 different white balls, ensuring that there are at least 2 balls of each color, we can break it down into two cases: ### Step-by-Step Solution: **Step 1: Identify the Cases** We need to consider two cases based on the distribution of colors: 1. Case 1: 2 red balls and 3 white balls 2. Case 2: 3 red balls and 2 white balls ...
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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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  8. From a class of 30 student , 3 are to be chosen for a competition . In...

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  9. Find the number of diagonals that can be drawn by joining the angular ...

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

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  12. Out of 7 consonants and 4 vowels, words are to be formed by involving ...

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  13. A box contain 5 different red and 6 different white balls. In how many...

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  15. Out of the 12 professors a committee of 5 professors is to be formed ....

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  17. In how many ways can 8 stars(**) signs and 6 triangle (Delta ) signs b...

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  20. In how many ways can 7 boys and 2 girls be seated in a row so that two...

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