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Choose the correct alternative:In 3 fingers, the number of ways four rings can be worn is · · · · · · · · · ways - Mathematics

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प्रश्न

Choose the correct alternative:
In 3 fingers, the number of ways four rings can be worn is · · · · · · · · · ways

विकल्प

  • 43 – 1

  • 34

  • 68

  • 64

MCQ

उत्तर

64

shaalaa.com
Mathematical Induction
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Combinatorics and Mathematical Induction - Exercise 4.5 [पृष्ठ १९७]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 4 Combinatorics and Mathematical Induction
Exercise 4.5 | Q 5 | पृष्ठ १९७

संबंधित प्रश्न

By the principle of mathematical induction, prove the following:

13 + 23 + 33 + ….. + n3 = `("n"^2("n + 1")^2)/4` for all x ∈ N.


By the principle of mathematical induction, prove the following:

1.2 + 2.3 + 3.4 + … + n(n + 1) = `(n(n + 1)(n + 2))/3` for all n ∈ N.


By the principle of mathematical induction, prove the following:

4 + 8 + 12 + ……. + 4n = 2n(n + 1), for all n ∈ N.


By the principle of mathematical induction, prove the following:

32n – 1 is divisible by 8, for all n ∈ N.


By the principle of mathematical induction, prove the following:

an – bn is divisible by a – b, for all n ∈ N.


By the principle of mathematical induction, prove the following:

52n – 1 is divisible by 24, for all n ∈ N.


By the principle of mathematical induction, prove the following:

2n > n, for all n ∈ N.


By the principle of mathematical induction, prove that, for n ≥ 1
12 + 32 + 52 + ... + (2n − 1)2 = `("n"(2"n" - 1)(2"n" + 1))/3`


Prove that the sum of the first n non-zero even numbers is n2 + n


By the principle of Mathematical induction, prove that, for n ≥ 1
1.2 + 2.3 + 3.4 + ... + n.(n + 1) = `("n"("n" + 1)("n" + 2))/3`


Using the Mathematical induction, show that for any natural number n ≥ 2,
`1/(1 + 2) + 1/(1 + 2 + 3) + 1/(1 +2 + 3 + 4) + .... + 1/(1 + 2 +  3 + ... + "n") = ("n" - 1)/("n" + 1)`


By the principle of Mathematical induction, prove that, for n ≥ 1
`1^2 + 2^2 + 3^2 + ... + "n"^2 > "n"^2/3`


Use induction to prove that n3 − 7n + 3, is divisible by 3, for all natural numbers n


Use induction to prove that 5n+1 + 4 × 6n when divided by 20 leaves a remainder 9, for all natural numbers n


Use induction to prove that 10n + 3 × 4n+2 + 5, is divisible by 9, for all natural numbers n


Choose the correct alternative:
If `""^("a"^2 - "a")"C"_2 = ""^("a"^2 - "a")"C"_4` then the value of a is


Choose the correct alternative:
Everybody in a room shakes hands with everybody else. The total number of shake hands is 66. The number of persons in the room is ______


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