Vedha selects six colours at random from the rainbow and inserts them into a computer
program designed to give new colours. A new colour can be formed by mixing any
number of colours (2 to 6) from the selected six. How many new colours can the
program generate?
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Given : Melvin selects six colors at random from the rainbow and inserts them into a computer program designed to give new colors.
A new color can be formed by mixing any number of colors (2 to 6) from the selected six.
To Find : How many new colors can the program generate
Solution:
Total colors = 6
can be selected 2 , 3 , 4 , 5 or 6
Colors can be generated
= ⁶C₂ + ⁶C₃ + ⁶C₄ + ⁶C₅ + ⁶C₆
= 15 + 20 + 15 + 6 + 1
= 57
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