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How many quadratic equations can be formed using numbers from 0, 2, 4, 5 as coefficient if a coefficient can be repeated in an equation. - Mathematics and Statistics

Sum

How many quadratic equations can be formed using numbers from 0, 2, 4, 5 as coefficient if a coefficient can be repeated in an equation.

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Solution

Let the quadratic equation be
ax2 + bx + c = 0, a ≠ 0

Coefficient Values Numbers of ways
a 2, 4, 5 3
b 0, 2, 4, 5 4
c 0, 2, 4, 5 4

Required number = 3 × 4 × 4 = 48

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Miscellaneous Exercise 6 | Q 15 | Page 93
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