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There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains?
Verified Answer
There there are 10 train playing between Calcutta and Delhi the number...
q1
10 choices to go to delhi
9 choices left to return
so 10*9 = 90 ways
q2
look at six 't's arranged in a row, & spaces marked x
x t x t x t x t x t x t x
the '-' can occupy any of the 7 spaces markes as 'x'
and fulfill the stipulated conditions.
thus total number of ways = 7*6*5*4 = 840
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There there are 10 train playing between Calcutta and Delhi the number...
Number of Ways to Travel from Calcutta to Delhi
There are 10 trains playing between Calcutta and Delhi, and we need to determine the number of ways a person can go from Calcutta to Delhi using different trains.
Approach:
To calculate the number of ways, we can use the concept of permutations.
Permutation: It is an arrangement of objects in a specific order, where the order matters. In this case, the order of trains matters since each train is considered as a different option to travel.
We can use the formula for permutation to calculate the number of ways:
nPr = n! / (n-r)!
Where n is the total number of objects (trains) available and r is the number of objects (trains) to be selected.
Calculation:
In this case, we have 10 trains available and we need to select all of them in a specific order. So, n = 10 and r = 10.
Using the permutation formula:
10P10 = 10! / (10-10)!
= 10! / 0!
= 10! / 1
= 10!
Simplification:
10! can be simplified as:
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
= 3,628,800
Therefore, the number of ways a person can go from Calcutta to Delhi using different trains is 3,628,800.
There are 10 trains playing between Calcutta and Delhi, and we need to determine the number of ways a person can go from Calcutta to Delhi using different trains.
Approach:
To calculate the number of ways, we can use the concept of permutations.
Permutation: It is an arrangement of objects in a specific order, where the order matters. In this case, the order of trains matters since each train is considered as a different option to travel.
We can use the formula for permutation to calculate the number of ways:
nPr = n! / (n-r)!
Where n is the total number of objects (trains) available and r is the number of objects (trains) to be selected.
Calculation:
In this case, we have 10 trains available and we need to select all of them in a specific order. So, n = 10 and r = 10.
Using the permutation formula:
10P10 = 10! / (10-10)!
= 10! / 0!
= 10! / 1
= 10!
Simplification:
10! can be simplified as:
10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
= 3,628,800
Therefore, the number of ways a person can go from Calcutta to Delhi using different trains is 3,628,800.
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There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains?
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There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains? 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 There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains?.
There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains? 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 There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There there are 10 train playing between Calcutta and Delhi the number of ways in which a person can go from Calcutta to Delhi and written by different trains?.
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