Suman has 5 clothes of different types, say, C₁,C₂, ...,C₅ and she wants to wear all these clothes at different days, say, D₁,D₂,...,D₅. Due to some reason, C₁ must be used either at D₃ or at D₄ and C₂ can be used either at D₄ or at D₃ or at D₅. Every cloth is to be used at only one day, in how many ways can clothes be used?
Answers
Answer:
Suman has 5 clothes of different types, say, C₁,C₂, ...,C₅ and she wants to wear all these clothes at different days, say, D₁,D₂,...,D₅. Due to some reason, C₁ must be used either at D₃ or at D₄ and C₂ can be used either at D₄ or at D₃ or at D₅. Every cloth is to be used at only one day, in how many ways can clothes be used?
2
Given: Suman has 5 clothes of different types, say, C₁,C₂, ...,C₅ and she wants to wear all these clothes at different days, say, D₁,D₂,...,D₅. Due to some reason, C₁ must be used either at D₃ or at D₄ and C₂ can be used either at D₄ or at D₃ or at D₅. Every cloth is to be used at only one day,
To Find : in how many ways can clothes be used
Solution:
Clothes C₁,C₂, ... ,C₅
Days D₁,D₂,...,D₅
C₁ must be used either at D₃ or at D₄
case 1 : C₁ used on D₃
case 2 : C₁ used on D₄
case 1 : C₁ used on D₃
C₂ can be used either at D₄ or at D₃ or at D₅.
D₃ is already gone so two subcases further
C₂ is used on D₄ or D₅
then remaining 3 clothes can wear on 3 days in 3! = 6 ways
Hence 2 * 6 = 12 ways
case 2 : C₁ used on D₄
C₂ can be used either at D₄ or at D₃ or at D₅.
D₄ is already gone so two subcases further
C₂ is used on D₃ or D₅
then remaining 3 clothes can be wear in 3! = 6 ways
Hence 2 * 6 = 12 ways
Total ways = 12 + 12 = 24 Ways
Clothes can be used in 24 ways
Learn More:
find the number of ways in which n distinct balls can be put into three ...
brainly.in/question/13409840
Find the number of ways of drawing 9 balls from a bag that has6 red ...
brainly.in/question/13094556
7. Find the number of ways of drawing 9 ballsfrom a bag that has 6 ...
brainly.in/question/13121350