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Write the expression \ ^n C(r+1)+\ ^n C(...

Write the expression `\ ^n C_(r+1)+\ ^n C_(r-1)+2xx\ ^n C_r` in the simplest form.

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If ""^(n)C _r denotes the numbers of combinations of n things taken r at a time, then the expression ""^(n) C_(r+1) +""^(n)C_(r-1) +2 xx ""^(n)C_r equals

If ""^(n)C _r denots the numbers of combinations of n things taken r at a time, then the expression ""^(n) C_(r+1) +""^(n)C_(r-1) +2 xx ""^(n)C_r equals ""^(n+2) C_(r+1)

If ""^(n)C _r denots the numbers of combinations of n things taken r at a time, then the expression ""^(n) C_(r+1) +""^(n)C_(r-1) +2 xx ""^(n)C_r equals ""^(n+2) C _(r+1)

If ""^(n)C _4 denots the numbers of combinations of n things taken r at a time, then the expression ""^(n) C_(r+1) +""^(n)C_(r-1) +2 xx ""^(n)C_r equals ""^(n+2)C_(r+1)

""^(n)C_(r+1)+^(n)C_(r-1)+2.""^(n)C_(r)=

For ""^(n) C_(r) + 2 ""^(n) C_(r-1) + ""^(n) C_(r-2) =

.^(n)C_(r)+2.^(n)C_(r-1)+.^(n)C_(r-2)=

Find the sum of sum_(r=1)^n(r^n C_r)/(^n C_(r-1) .

If ^n P_r=^n P_(r+1)a n d^n C_r=^n C_(r-1,) then the value of n+r is.

""^(n) C_(r+1)+2""^(n)C_(r) +""^(n)C_(r-1)=

RD SHARMA ENGLISH-COMBINATIONS-All Questions
  1. If C(35, n+7)= C(35, 4n-2) then all the values of n are

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  2. Write the number of diagonals of an n-sided polygon.

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  3. Write the expression \ ^n C(r+1)+\ ^n C(r-1)+2xx\ ^n Cr in the simples...

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  4. There are 3 letters and 3 directed envelopes. Write the number of ways...

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  5. Write the maximum number of points of intersection of 8 straight lines...

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  6. The number of parallelograms that can be formed from a set of four par...

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  7. The number of ways in which 12 students can be equally divided into th...

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  8. Write the total number of words formed by 2 vowels and 3 consonants ...

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  9. If \ ^20 Cr=\ ^20 C(r-10) ,\ t h e n\ \ ^18 Cr is equal to 'a. 4896 ...

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  10. If \ ^(20)Cr=\ ^(20)C(r+4),\ t h e n\ \ ^r C3 is equal to a. 54 b. 56 ...

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  11. If \ ^(15)C(3r)=\ \ ^(15)C(r+3)\ then\ r is equal to a. 5 b. 4 c. 3 d....

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  12. If \ ^(20)C(r+1)=\ \ ^(20)C(r-1),\ t h e n\ r is equal to a. 10 b. 11 ...

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  13. If C(n , 12)=C(n ,8),\ t h e n\ C(22 , n) is equal to a. 132 b. 210 c....

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  14. If \ ^m C1=\ \ ^n C2 then which is correct a. 2m=n b. 2m=n(n+1) c. 2m...

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  15. If \ ^n C(12)=\ \ ^n C8 then = a. 20 b. 12 c. 6 d. 30

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  16. If \ ^n Cr+\ ^n C(r+1)=\ \ ^(n+1)Cx ,\ t h e n x = a. r b. r-1 c. n d...

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  17. If \ ^(a^2-a)C2=\ \ ^(a^2-a)C4\ t h e n \ value\ of\ a\ is\ = a. 2 b....

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  18. \ ^5C1+\ ^5C2+\ ^5C3+\ ^5C4+\ ^5C5 is equal to a 30 b. 31 c. 32 d. 33

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  19. Total number of words formed by 2 vowels and 3 consonants taken from 4...

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  20. There are 12 points in a plane. The number of the straight lines joini...

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