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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

पर्याय

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MCQ
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उत्तर

64

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Mathematical Induction
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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
पाठ 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:

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


By the principle of mathematical induction, prove the following:

1 + 4 + 7 + ……. + (3n – 2) = `("n"(3"n" - 1))/2`  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:

n(n + 1) (n + 2) is divisible by 6, 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
13 + 23 + 33 + ... + n3 = `(("n"("n" + 1))/2)^2`


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


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


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)`


Using the Mathematical induction, show that for any natural number n, x2n − y2n is divisible by x + y


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


Prove that using the Mathematical induction
`sin(alpha) + sin (alpha + pi/6) + sin(alpha + (2pi)/6) + ... + sin(alpha + (("n" - 1)pi)/6) = (sin(alpha + (("n" - 1)pi)/12) xx sin(("n"pi)/12))/(sin (pi/12)`


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 ______


Choose the correct alternative:
1 + 3 + 5 + 7 + · · · + 17 is equal to


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