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If ""^(n-1)C(3)+""^(n-1)C(4)gt""^(n)C(3)...

If `""^(n-1)C_(3)+""^(n-1)C_(4)gt""^(n)C_(3)`, then

A

`ngt5`

B

`ngt6`

C

`ngt7`

D

`ngt8`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PERMUTATIONS & COMBINATIONS-EXERCISE-II
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  2. sum( r=0 )^ ( 10) ( 40 -r)C (5)=

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  3. If ""^(n-1)C(3)+""^(n-1)C(4)gt""^(n)C(3), then

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  4. If ""^(n)C(4),""^(n)C(5),""^(n)C(6) are in A.P., then the value of n i...

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  5. If ""^(n)C(r-1)=36,""^(n)C(r)=84 and ""^(n)C(r+1)=126, then r is equal...

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  6. The value of 2^(n)n!(1.3.5.....(2n-1)) is

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  7. If a(n)=sum(r=0)^(n)(1)/(""^(n)C(r)) then sum(r=0)^(n)(r)/(""^(n)C(r))...

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  8. ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-3)+""^(n)C(r-4) i...

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  9. The sum sum(i=0)^(m)((10)/(i))((20)/(m-i)) is maximum when m is

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  10. In a football championship there were played 153 matches. Every two te...

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  11. From a group of persons the number of ways of selecting 5 persons is e...

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  12. In a chess tournament where the participants were to play one game wit...

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  13. A teacher takes 3 children from her class to the zoo at a time as ofte...

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  14. From 0 to 9, four digited numbers can be formed such that the digits a...

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  15. The total number of 4 digit numbers in which the digits are in descend...

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  16. There are 12 balls numbered from 1 to 12. The number of ways in which ...

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  17. The number of ways in which we can select four numbers from 1 to 30 so...

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  18. The number of ways in which 4 vowels and 2 consonants be chosen from E...

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  19. The number of ways in which 5 players be chosen from 12 players so as ...

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  20. The number of ways in which a team of eleven players can be selected f...

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