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Required number of ways = (⁸C6 × ⁸C₂ + ⁸C5 × ⁸C₃ + ⁸C4 × ⁸C4 + ⁸C₃ × ⁸C5 + ⁸C₂ × ⁸C6) = (28 × 28 + 56 × 56 + 70 × 70 + 56 × 56 + 28 × 28) = 12,740
The average of three numbers a, b and c is 2 more than c. The average of a and b is 48. If d is 10 less than c, then the average of c and d is:
If (x + y) = 35, then find the value of (x - 10)6 + (y - 25)6.
If a + b + c = 11, ab + bc + ca = 3 and abc = -135, then what is the value of a³ + b³ + c³ ?
If 3y-3/y=18 then find the value of y² +1/y²
What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
If 0.125x3 +0.216y3 = 210 and 0.25x2 + 0.36y2 = 10.30 then find the value of 0.5x + 0.6y.