The value of (5C0 + 5C1) + (5C1 + 5C2) + (5C2 + 5C3) + (5C3 + 5C4) + (5C4 + 5C5) is: - Business Mathematics and Statistics

The value of (5C₀ + 5C₁) + (5C₁ + 5C₂) + (5C₂ + 5C₃) + (5C₃ + 5C₄) + (5C₄ + 5C₅) is:

MCQ

2⁶ – 2

Explanation:

(5C₀ + 5C₁ + 5C₂ + 5C₃ + 5C₄ + 5C₅) + (5C₁ + 5C₂ + 5C₃ + 5C₄)

= 2⁵ + (5C₀ + 5C₁ + 5C₂ + 5C₃ + 5C₄ + 5C₅) – (5C₀ + 5C₅)

= 2⁵ + 2⁵ – (1 + 1) (∵ Adding and subtracting of 5C₀ and 5C₅)

= 2(2⁵) – 2 (∵ 5C₀ = 5C₅ = 1)

= 2⁶ – 2

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Chapter 2: Algebra - Exercise 2.7 [Page 46]

Chapter 2 Algebra
Exercise 2.7 | Q 18 | Page 46

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