⁶C₄ × ⁴C₁ + ⁶C₃ × ⁴C₂ + ⁶C₂ × ⁴C₃ + ⁶C₁ × ⁴C₄ = 15 × 4 + 20 × 6 + 15 × 4 + 6 × 1 = 60 + 120 + 60 + 6 = 246 Alternate Method: ¹⁰C₅ - ⁶C₅ = (10 ×9 ×8 ×7 ×6 )/(5 ×4 × 3 × 2) - ⁶C₅ = 252 - ⁶C₅ = 252 – 6 = 246
There are 7 people in a group. Average age of the group decreases by 5 when two more people join the group. Find the average age of the new group.
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