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In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these?
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In how many ways can 10 different prizes be given to 5 students if one...
Approach:
1. Selecting the boy who will receive 4 prizes
2. Distributing the remaining prizes among the 4 students
3. Calculating the total number of ways
1. Selecting the boy who will receive 4 prizes:
Since one particular boy must get 4 prizes, there is only one way to select him.
2. Distributing the remaining prizes among the 4 students:
Out of the remaining 9 prizes, the other 4 students can receive any number of prizes.
So, each of the remaining 4 students has 5 choices (0, 1, 2, 3, or 4 prizes).
Therefore, the total number of ways to distribute the prizes among the 4 students is 5^4 = 625.
3. Calculating the total number of ways:
Multiplying the number of ways to select the boy who will receive 4 prizes and distribute the remaining prizes among the 4 students:
1 (selecting the boy) * 625 (distributing the prizes) = 625.
So, the total number of ways in which 10 different prizes can be given to 5 students if one particular boy must get 4 prizes is 625.
Therefore, the correct answer is (d) none of these.
1. Selecting the boy who will receive 4 prizes
2. Distributing the remaining prizes among the 4 students
3. Calculating the total number of ways
1. Selecting the boy who will receive 4 prizes:
Since one particular boy must get 4 prizes, there is only one way to select him.
2. Distributing the remaining prizes among the 4 students:
Out of the remaining 9 prizes, the other 4 students can receive any number of prizes.
So, each of the remaining 4 students has 5 choices (0, 1, 2, 3, or 4 prizes).
Therefore, the total number of ways to distribute the prizes among the 4 students is 5^4 = 625.
3. Calculating the total number of ways:
Multiplying the number of ways to select the boy who will receive 4 prizes and distribute the remaining prizes among the 4 students:
1 (selecting the boy) * 625 (distributing the prizes) = 625.
So, the total number of ways in which 10 different prizes can be given to 5 students if one particular boy must get 4 prizes is 625.
Therefore, the correct answer is (d) none of these.
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In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these?
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In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these?.
In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways can 10 different prizes be given to 5 students if one particular boy must get 4 prizes and rest of the student get any no. of prizes ? (a) 860160 (b) 240240 (c) 420620 (d) none of these?.
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