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How many numbers greater than 50,000 can...

How many numbers greater than 50,000 can be formed by using the digits 2,5,5,6,7?

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To solve the problem of how many numbers greater than 50,000 can be formed using the digits 2, 5, 5, 6, and 7, we can follow these steps: ### Step 1: Calculate the total permutations of the digits We have the digits 2, 5, 5, 6, and 7. The total number of permutations of these digits can be calculated using the formula for permutations of multiset: \[ \text{Total permutations} = \frac{n!}{p_1! \times p_2! \times \ldots \times p_k!} \] ...
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AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Try Yourself
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  9. Evaluate : ""^(75)C(73)

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  10. Evaluate : ""^(13)C(10)

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  11. Find n if ""^(n)C(4)=""^(n)C(6)

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  12. If ""^(n)C(10)=""^(n)C(13) , then find the value of ""^(n)C(2)

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

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

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

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

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