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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...
We are given four electrical appliances: T.V, Refrigerator, Washing Machine, and Cooler.
The problem asks us to find the number of ways a person can choose one or more appliances from these four.
Step 1: Understanding the choices
For each appliance, a person can either:
- Choose it, or
- Not choose it.
So, for each of the 4 appliances, there are 2 choices: choose or not choose.
Step 2: Total number of choices
For all 4 appliances, the total number of choices is:
2 * 2 * 2 * 2 = 16
But, this count includes the case where no appliance is chosen (i.e., choosing none of the appliances). Since we need at least one appliance to be chosen, we subtract the case where no appliances are chosen.
Step 3: Subtract the case of choosing none
The number of choices where no appliance is chosen is 1 (i.e., the empty set). So, we subtract this from the total number of choices:
16 - 1 = 15
The number of ways in which a person can choose one or more appliances is 15.
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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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