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A person is permitted to select at least...

A person is permitted to select at least one and at most n coins from a collection of (2n+1) distinct coins. If the total number of ways in which he can select coins is 255, then find the value of n.

A

4

B

8

C

16

D

32

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS ENGLISH-PERMUTATIONS AND COMBINATIONS -Exercise For Session 4
  1. If \ ^(43)C(r-6)=\ ^(43)C(3r+1)\ then the value of r is a. 12 b. 8 c....

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  2. If ^18C15+2 ^18C16+^17C16+1=^nC3, then n=

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  3. If .^(20)C(n+1) = ^ (n) C(16), then the value of n is a.7 b. 10 c....

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  4. The value of expression ^47 C4+sum(j=1)^5^(52+j)C3 is equal to a.^47 C...

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  5. If ""^(n)C(3) + ""^(n)C4 gt ""^(n+1) C3 , then.

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  6. The solution set "^10C(x-1)>2."^10Cx is

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  7. if .^(2n)C(2):^(n)C(2)=9:2 and .^(n)C(r)=10, then r is equal to

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  8. If .^(2n)C(3):^(n)C(2)=44:3, for which of the following value of r, th...

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  9. If ^n Pr=^n P(r+1)a n d^n Cr=^n C(r-1,) then the value of n+r is.

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  10. If .^nPr=840, .^nCr=35, then find n=

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  11. If .^(n)P(3)+.^(n)C(n-2)=14n, the value of n is (a) 5 (b) 6 (c) 8 (d)...

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  12. There are 12 volleyball players in all in a college, out of which a te...

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  13. In how many ways can a team 11 players be formed out of 25 players,...

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  14. A man has 10 friends. In how many ways he can invite one or more of th...

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  15. In an examinations there are three multiple choice questions and each ...

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  16. In an election, the number of candidates is one greater than the per...

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  17. Find the number of groups that can be made from 5 different green ball...

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  18. A person is permitted to select at least one and at most n coins from ...

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