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""^15C0.""^5C5+""^15C1.""^5C4+""^15C2.""...

`""^15C_0.""^5C_5+""^15C_1.""^5C_4+""^15C_2.""^5C_3+ ""^15C_3.^5C_2+""^15C_4.""^5C_1` equals :

A

`2^20-2^5`

B

`(20!)/(5! 5!)`

C

`(20!)/(5! 5!)-1`

D

`(20!)/(5! 5!)-(15!)/(5! 10!)`.

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If ""^(2n+1)P(n-1): ""^(2n-1)Pn =3:5 then the value of n equals :

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  2. If|x|<1, then the coefficient of x^6 in the expansion of (1+x + x^2)^-...

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  3. ""^15C0.""^5C5+""^15C1.""^5C4+""^15C2.""^5C3+ ""^15C3.^5C2+""^15C4.""^...

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  4. Every body in a room shakes hand with every body else. The total numbe...

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  5. ""^15C8+""^15C9-""^15C6-""^15C7=

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  6. If the rth term in the expansion of (x/3-2/x^2)^10 contains x^4, then ...

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  7. If 5^(99) is divided by 13, the remainder is

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  8. The total number of terms in the expansion of (x+y)^100 after simplifi...

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  9. If Pm stands for ""^mPm, then : 1+1.P1+2P2+3P3+.........+nPn is equal...

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  10. The number of positive integers satisfying the inequality ""^(n+1)C(n-...

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  11. The number of diagonals of a polygon of 20 sides is :

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  12. he number of ways in which 5 boys and 5 girls can be seated for a phot...

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  13. (""^8C0)/6-""^8C1+""^8C2 .6-""^8C3 .6^2+....+ ""^8C8 .6^7 =

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  14. What is the smallest natural number n such that n ! is divisible by 99...

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  15. What is the number of words formed from the letters of the word ‘JOKE’...

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  16. Find the coefficient indepandent of x in the expansion of (1 + x +...

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  17. The number of ways in which 6 men and 5 women can sit at a round table...

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  18. A student is to answer 10 out of 13 questions in an examination such t...

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  19. If ""^nCr denotes the number of combinations of n things taken r at a ...

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  20. The number of integral terms in the expansion of (sqrt3 + root(8)(5))^...

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