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At an election a voter may vote for nany...

At an election a voter may vote for nany number of candidates , not greater than the number t be eected. There are 10 candidates and 4 are to be elected. If a voter for at lest one candidates, thene the number of ways in which he can vote is

A

5040

B

6210

C

385

D

1110

Text Solution

Verified by Experts

The correct Answer is:
C
`.^(10)C_(1)+.^(10)C_(2)+.^(1)C_(3)+.^(10)C_(4)=10+45+120+210=385`.
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ARIHANT MATHS-PERMUTATIONS AND COMBINATIONS -Exercise (Questions Asked In Previous 13 Years Exam)
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  2. lf r, s, t are prime numbers and p, q are the positive integers such t...

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  3. At an election a voter may vote for nany number of candidates , not gr...

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  4. The letters of the word COCHIN are permuted and all the permutation...

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  5. The set S""=""{1,""2,""3,"" ,""12) is to be partitioned into three...

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  6. Consider all possible permutations of the letters of the word ENDEANOE...

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  7. How many different words can be formed by jumbling the letters in the ...

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  8. In a shop, there are five types of ice-creams available. A child buys ...

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  9. The number of seven digit integers, with sum of the digits equal to 10...

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  11. There are two urns. Urn A has 3 distinct red balls and urn B has 9 d...

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  13. There are 10 points in a plane, out of these 6 are collinear. The numb...

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  14. The total number of ways in which 5 balls of differert colours can be ...

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  15. Let n denote the number of all n-digit positive integers formed by the...

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  16. Let a(n) denote the number of all n-digit numbers formed by the digits...

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  17. Assuming the balls to be identical except for difference in colours, t...

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  18. Let Tn be the number of all possible triangles formed by joining ve...

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  19. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

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  20. Let n1<n2<n3<n4<n5 be positive integers such that n1+n2+n3+n4+n5=20...

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