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The number of ways in which a group of 11 boys can be divided into two groups of 6 and 5 boys each is
Choice (c) is correct. It is same as selecting 6 boys out of 11 boys or selecting 5 boys out of 11 boys. Number of ways of forming groups = ¹¹C₆ or ¹¹C₅ This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your undeRead more
Choice (c) is correct.
It is same as selecting 6 boys out of 11 boys or selecting 5 boys out of 11 boys.
Number of ways of forming groups = ¹¹C₆ or ¹¹C₅
This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.
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If m parallel lines in a plane are intersected by a family of n parallel lines, the number of parallelogram formed is
Choice (b) is correct A parallelogram is formed by choosing 2 straight lines from the set of m parallel lines and 2 straight lines from the set of n parallel lines. Number of parallelograms = ᵐC₂ × ⁿC₂ = m(m - 1)/2 × n(n - 1)/2 This question related to Chapter 6 maths Class 11th NCERT. From the CRead more
Choice (b) is correct
A parallelogram is formed by choosing 2 straight lines from the set of m parallel lines and 2 straight lines from the set of n parallel lines.
Number of parallelograms = ᵐC₂ × ⁿC₂ = m(m – 1)/2 × n(n – 1)/2
This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.
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See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-6
The number of chords that can be drawn through 15 points on a circle is
Choice (b) is correct. Since the points lie on a circle, so on three points are collinear. Chord can be drawn by the combination of two points. Number of chords = ¹⁵ C ₂ = 15 × 14 / 1 × 2 = 105 This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and CombinatiRead more
Choice (b) is correct.
Since the points lie on a circle, so on three points are collinear. Chord can be drawn by the combination of two points.
Number of chords = ¹⁵ C ₂ = 15 × 14 / 1 × 2 = 105
This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-6
If ⁿP₃ = ⁿP₄ = 1 : 5, then the value of n is :
Choice (a) is correct Given, ⁿP₃ : ⁿP₄ = 1 : 5 ⇒ ⁿP₃/ ⁿP₄ = 1/5 ⇒ (n!/(n -3)!)/ (n!/ (n - 4)!) = 1/5 ⇒ (n - 4)!/ (n -3)! = 1/5 ⇒ (n - 4)! / (n - 3) (n - 4)! = 1/5 ⇒ 1 / n - 3 = 1/5 ⇒ n - 3 = 5 ⇒ n = 8 This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and CRead more
Choice (a) is correct
Given, ⁿP₃ : ⁿP₄ = 1 : 5
⇒ ⁿP₃/ ⁿP₄ = 1/5 ⇒ (n!/(n -3)!)/ (n!/ (n – 4)!) = 1/5 ⇒ (n – 4)!/ (n -3)! = 1/5
⇒ (n – 4)! / (n – 3) (n – 4)! = 1/5 ⇒ 1 / n – 3 = 1/5
⇒ n – 3 = 5 ⇒ n = 8
This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.
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See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-6
If ⁿC₁₂ = ⁿC₈, then the value of n is :
Choice (a) is correct. We know that if ⁿCᵣ = ⁿCₛ, then r = s or r + s = n Given, ⁿC₁₂ = ⁿC₈ n = 12 + 8 ⇒ n = 20 This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding. For more please visit here: httRead more
Choice (a) is correct.
We know that if ⁿCᵣ = ⁿCₛ, then r = s or r + s = n
Given, ⁿC₁₂ = ⁿC₈
n = 12 + 8 ⇒ n = 20
This question related to Chapter 6 maths Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-6