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If ¹⁵ C₃ᵣ = ¹⁵ Cᵣ ₊ ₇, then the value of r is
Choice (c) is correct. Given ¹⁵ C₃ᵣ = ¹⁵ Cᵣ ₊ ₇ ⇒ 3r = r + 7 or 3r + ( r + 7) = 15 ⇒ 2r = 7 or 4r = 8 ⇒ r = 7/2 or r = 2 ⇒ r = 2 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 pleasRead more
Choice (c) is correct.
Given ¹⁵ C₃ᵣ = ¹⁵ Cᵣ ₊ ₇
⇒ 3r = r + 7 or 3r + ( r + 7) = 15
⇒ 2r = 7 or 4r = 8
⇒ r = 7/2 or r = 2
⇒ r = 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
If ⁿ ⁺ ¹C₃ = 3.ⁿ C₂, then the value of n is
Choice (d) is correct. Given, ⁿ ⁺ ¹C₃ = 3.ⁿ C₂ (n + 1)!/(n + 1 - 3)! × 3! = (3)× (n)!/ (n - 2)! × 2! ⇒ (n + 1) × (n)!/(n - 2)! ×3 ×2! = 3 × (n)!/(n-2)! × 2! ⇒ n + 1/3 = 3 ⇒ n + 1 = 9 ⇒ n = 8 Class 11th NCERT. From the Chapter 6: Permutations and Combinations. Give answer according to your understanRead more
Choice (d) is correct.
Given, ⁿ ⁺ ¹C₃ = 3.ⁿ C₂
(n + 1)!/(n + 1 – 3)! × 3! = (3)× (n)!/ (n – 2)! × 2! ⇒ (n + 1) × (n)!/(n – 2)! ×3 ×2! = 3 × (n)!/(n-2)! × 2!
⇒ n + 1/3 = 3 ⇒ n + 1 = 9 ⇒ n = 8
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
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.
For more please visit here:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-11/maths/#chapter-6
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.
For more please visit here:
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