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In how many ways 3 prizes out of 5 can be distributed amongst 3 brothers Equally?
- a)10
- b)45
- c)60
- d)120
Correct answer is option 'C'. Can you explain this answer?
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In how many ways 3 prizes out of 5 can be distributed amongst 3 brothe...
Solution:
To distribute 3 prizes out of 5 amongst 3 brothers equally, we need to apply the concept of combinations.
Step 1: Find the total number of ways in which 3 prizes out of 5 can be distributed amongst the 3 brothers. This can be done using the formula for combinations:
5C3 = (5*4*3)/(3*2*1) = 10
Step 2: Since the prizes are to be distributed equally amongst the 3 brothers, we need to divide the total number of ways by 3! (factorial of 3) to eliminate the repetitions. This is because each distribution can be made in 3! ways (i.e. by assigning the prizes to the 3 brothers in different orders).
3! = 3*2*1 = 6
Therefore, the required number of ways = 10/6 = 60.
Hence, the correct option is (c) 60.
To distribute 3 prizes out of 5 amongst 3 brothers equally, we need to apply the concept of combinations.
Step 1: Find the total number of ways in which 3 prizes out of 5 can be distributed amongst the 3 brothers. This can be done using the formula for combinations:
5C3 = (5*4*3)/(3*2*1) = 10
Step 2: Since the prizes are to be distributed equally amongst the 3 brothers, we need to divide the total number of ways by 3! (factorial of 3) to eliminate the repetitions. This is because each distribution can be made in 3! ways (i.e. by assigning the prizes to the 3 brothers in different orders).
3! = 3*2*1 = 6
Therefore, the required number of ways = 10/6 = 60.
Hence, the correct option is (c) 60.
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In how many ways 3 prizes out of 5 can be distributed amongst 3 brothe...
5p3=60
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In how many ways 3 prizes out of 5 can be distributed amongst 3 brothers Equally?a)10b)45c)60d)120Correct answer is option 'C'. Can you explain this answer?
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