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The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is?
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The number of arrangement of 10 different things taken 4 at a time in ...
Arrangements of 10 different things taken 4 at a time
To find the number of arrangements of 10 different things taken 4 at a time in which one particular thing always occurs, we can follow the steps below:
Step 1: Select the fixed item
- Since one particular thing always occurs, we first select that particular item.
- There is only 1 way to choose this fixed item.
Step 2: Select the remaining 3 items from the remaining 9
- After selecting the fixed item, we need to select 3 more items from the remaining 9.
- This can be done in ^9C3 ways, which is equal to 84.
Step 3: Arrange the 4 selected items
- Once we have selected the 4 items, we need to arrange them.
- This can be done in 4! ways, which is equal to 24.
Step 4: Calculate the total number of arrangements
- To find the total number of arrangements, we multiply the number of ways in each step.
- Therefore, the total number of arrangements = 1 (fixed item) * ^9C3 (selecting 3 items) * 4! (arranging 4 items)
- Total arrangements = 1 * 84 * 24 = 2016.
Therefore, the number of arrangements of 10 different things taken 4 at a time in which one particular thing always occurs is 2016.
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The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is?
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The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is? 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 The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is?.
The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is? 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 The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of arrangement of 10 different things taken 4 at a time in which one particular thing always occur is?.
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