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Varsha is making different styles of colour pattern by drawing 5 vertical lines from left to right. She has decided to draw 3 vertical lines with crayon colours and 2 vertical lines with water colours. She has 3 different water colours and 2 different crayon colours (all 5 colours are distinct) at herdisposal How many different patterns can she create using these colours if repetition of colours is allowed? (The page on which vertical stripes aremade is not rotated while making or observing later) |
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Answer» Given : Varsha is MAKING different styles of colour pattern by drawing 5 vertical lines from left to right. She has decided to draw 3 vertical lines with CRAYON colours and 2 vertical lines with WATER colours. She has 3 different water colours and 2 different crayon colours (all 5 colours are distinct) at her disposal To Find : different patterns she can create using these colours if repetition of colours is allowed Solution: 3 lines with crayon 2 lines with water colors Total Lines = 5 3 lines out of 5 can be selected in ⁵C₃ = 10 way Hence 10 ways of selecting lines Now each water color line can be colored in 3 * 3 = 9 ways each crayon color line can be done in 2 ways Hence 3 lines can be in 2 * 2 * 2 = 8 ways Total Ways = 10 * 9 * 8 = 720 ways 720 different patterns can be created, learn More: find the number of ways in which n distinct balls can be put into three ... Find the number of ways of drawing 9 balls from a bag that has6 red ... 7. Find the number of ways of drawing 9 ballsfrom a bag that has 6 ... |
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