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2m white counters and 2n red counters ar...

`2m` white counters and `2n` red counters are arranged in a straight line with `(m+n)` counters on each side of central mark. The number of ways of arranging the counters, so that the arrangements are symmetrical with respect to the central mark is `(A)` `.^(m+n)C_m` `(B)` `.^(2m+2n)C_(2m)` `(C)` `1/2 ((m+n)!)/(m! n!)` `(D)` None of these

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CENGAGE PUBLICATION-PERMUTATIONS AND COMBINATIONS-All Questions
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  2. Number of ways in which Rs. 18 can be distributed amongst four pers...

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  3. 2m white counters and 2n red counters are arranged in a straight line ...

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  6. The number of ways in which 12 books can be put in three shelves wi...

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  7. The total number of ways in which 2n persons can be divided into n ...

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  8. Let x1 , x2 , x3,....., xk be the divisors of positive integer n (inc...

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  9. Let A = {x1, x2, x3, ,x7},B={y1, y2, y3} The total number of func...

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

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  11. A committee of 12 is to be formed from nine women and eight men. In ho...

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  12. Let Tn denote of the number of triangles which can be formed using the...

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

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

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  15. If, ^n Cr=84 , and ^n C(r-1)=36,and ^n C(r+1)=126 , then find the val...

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  16. find 7C4

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

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

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  19. Find 5C0

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

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