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The total number of ways in which `n^2` number of identical balls can be put in `n` numbered boxes `(1,2,3,.......... n)` such that ith box contains at least `i` number of balls is a. `.^(n^2)C_(n-1)` b. `.^(n^2-1)C_(n-1)` c. `.^((n^2+n-2)/2)C_(n-1)` d. none of these

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
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  2. Let A = {x1, x2, x3, ,x7},B={y1, y2, y3} The total number of func...

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  3. The total number of ways in which n^2 number of identical balls...

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  5. Column I, Column II Four dice (six faced) are rolled. The number...

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  7. Let Tn denote the number of triangles, which can be formed using t...

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  8. In a group of boys, two boys are brothers and six more boys are pres...

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  9. If N is the number of ways in which a person can walk up a stairwa...

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  10. If ^nCr=84 ,^n C(r-1)=36 ,a n d^n C(r+1)=126 , then find the value of...

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  11. Column I Column II Total number of function f:{1,2,3,4,5}vec{1,2...

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  12. find 7C4

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  13. A function is defined as f:[a1, a2, a3, a4, a5, a6]vec{b1, b2, b3}dot ...

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  14. Find the number of ways in which 22 different books can be given to 5 ...

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  15. Consider the convex polygon, which has 35 diagonals. Then match the ...

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  16. Find 5C0

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  17. Consider a 6xx6 chessboard. Then match the following columns. Column I...

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  18. Find the number of integral solutions of x1+x2+x3+=24 subjected to th...

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  19. Among 10 persons, A, B, C are to speak at a function. The number of...

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  20. In how many ways can three persons, each throwing a single dice once, ...

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