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Total no of ways in which 30 sweets can be distributed among 6 persons ?
- a)35C5
- b)36C5
- c)36C6
- d)35!/5!
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Total no of ways in which 30 sweets can be distributed among 6 persons...
(A ) IS CORRECT ANSWER.
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Total no of ways in which 30 sweets can be distributed among 6 persons...
Solution:
This question can be solved using the concept of combinations.
Combinations refer to the number of ways in which a set of objects can be selected without taking into account their order.
The formula for combinations is given by:
n C r = n! / (r! * (n-r)!)
where n is the total number of objects, r is the number of objects to be selected, and ! denotes factorial.
In this question, we need to distribute 30 sweets among 6 persons, which means we need to select 6 objects from a set of 30 objects.
Therefore, the answer can be calculated using the formula for combinations as:
6 C 30 = 30! / (6! * (30-6)!)
= 30! / (6! * 24!)
= (30*29*28*27*26*25) / (6*5*4*3*2*1)
= 593775
Therefore, the total number of ways in which 30 sweets can be distributed among 6 persons is 35C5, which is option A.
This question can be solved using the concept of combinations.
Combinations refer to the number of ways in which a set of objects can be selected without taking into account their order.
The formula for combinations is given by:
n C r = n! / (r! * (n-r)!)
where n is the total number of objects, r is the number of objects to be selected, and ! denotes factorial.
In this question, we need to distribute 30 sweets among 6 persons, which means we need to select 6 objects from a set of 30 objects.
Therefore, the answer can be calculated using the formula for combinations as:
6 C 30 = 30! / (6! * (30-6)!)
= 30! / (6! * 24!)
= (30*29*28*27*26*25) / (6*5*4*3*2*1)
= 593775
Therefore, the total number of ways in which 30 sweets can be distributed among 6 persons is 35C5, which is option A.
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Total no of ways in which 30 sweets can be distributed among 6 persons ?a)35C5b)36C5c)36C6d)35!/5!e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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