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Kiran 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 : selects six colours at random from the rainbow
A new colour can be formed by mixing any number of colours (2 to 6) from the selected six
To Find : How many new colours can the program generate?
Solution:
Numbers of colours can be formed
= ⁶C₂ + ⁶C₃ + ⁶C₄ + ⁶C₅ + ⁶C₆
= 15 + 20 + 15 + 6 + 1
= 57
Program can generate 57 new colors
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