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The number of ways in which a person can chose one or more of the four electrical appliances : T.V, Refrigerator, Washing Machine and a cooler is
- a)15
- b)25
- c)24
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
The number of ways in which a person can chose one or more of the four...
Given information:
- There are four electrical appliances: T.V, Refrigerator, Washing Machine, and Cooler.
- We need to find the number of ways in which a person can choose one or more of these appliances.
Solution:
To find the total number of ways in which a person can choose one or more of the given appliances, we need to use the concept of combinations.
- First, we can choose one appliance in 4 ways.
- Next, we can choose two appliances in 6 ways (using the formula nC2 = n*(n-1)/2).
- Similarly, we can choose three appliances in 4 ways and four appliances in 1 way.
Therefore, the total number of ways in which a person can choose one or more appliances is:
4 + 6 + 4 + 1 = 15
Hence, the correct answer is option A (15).
- There are four electrical appliances: T.V, Refrigerator, Washing Machine, and Cooler.
- We need to find the number of ways in which a person can choose one or more of these appliances.
Solution:
To find the total number of ways in which a person can choose one or more of the given appliances, we need to use the concept of combinations.
- First, we can choose one appliance in 4 ways.
- Next, we can choose two appliances in 6 ways (using the formula nC2 = n*(n-1)/2).
- Similarly, we can choose three appliances in 4 ways and four appliances in 1 way.
Therefore, the total number of ways in which a person can choose one or more appliances is:
4 + 6 + 4 + 1 = 15
Hence, the correct answer is option A (15).
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Community Answer
The number of ways in which a person can chose one or more of the four...
No. of ways to choose =2ⁿ -1
=2⁴ -1 =15
Here we are subtracting 1 as we are not considering selection of none of the appliance.
=2⁴ -1 =15
Here we are subtracting 1 as we are not considering selection of none of the appliance.
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The number of ways in which a person can chose one or more of the four electrical appliances : T.V, Refrigerator, Washing Machine and a cooler isa)15b)25c)24d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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