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In how many ways a committee of 7 member...

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

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To find the number of ways to select a committee of 7 members from a total of 10 members, we can use the concept of combinations. The formula for combinations is given by: \[ \binom{n}{r} = \frac{n!}{r!(n-r)!} \] where \( n \) is the total number of items to choose from, \( r \) is the number of items to choose, and \( ! \) denotes factorial. ...
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AAKASH INSTITUTE-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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  11. How many committee of 5 members each can be formed with 8 officials an...

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

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  14. A commttee of 8 is to be formed from 6 women and 5 men. In how many wa...

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

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  16. From a class of 12 girls and 15 boys, 12 students are to be chosen for...

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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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