In a certain election there are $8$ candidates forI have $5$ veggie items and $4$ meat items. How many different plates can I make?Number of ways so that at least one soldier find that soldier next to him is also selected.In how many ways can $5$ Indians, $4$ Chinese, and $3$ Americans be assigned to $12$ stations so that no two Americans serve at consecutive stations?Twelvefold Way/Combinatorics - Determining Balls vs Urns and Labelled vs UnlabelledHow many ways to select $N$ things out of $2N$ things?Club Election Voting Permutation QuestionSelect three people out of 10 sitting in a circle such that no two of them are consecutive?Attempting a combinations question using permutations.$10$ letters are placed in $10$ addressed envelopes. Find the number of ways such that at most three letters are not in correct envelopesWhy my process is wrong:-How many ways are there to choose $5$ questions from three sets of $4$, with at least one from each set?
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In a certain election there are $8$ candidates for
I have $5$ veggie items and $4$ meat items. How many different plates can I make?Number of ways so that at least one soldier find that soldier next to him is also selected.In how many ways can $5$ Indians, $4$ Chinese, and $3$ Americans be assigned to $12$ stations so that no two Americans serve at consecutive stations?Twelvefold Way/Combinatorics - Determining Balls vs Urns and Labelled vs UnlabelledHow many ways to select $N$ things out of $2N$ things?Club Election Voting Permutation QuestionSelect three people out of 10 sitting in a circle such that no two of them are consecutive?Attempting a combinations question using permutations.$10$ letters are placed in $10$ addressed envelopes. Find the number of ways such that at most three letters are not in correct envelopesWhy my process is wrong:-How many ways are there to choose $5$ questions from three sets of $4$, with at least one from each set?
$begingroup$
In a certain election there are $8$ candidates for president, $5$ candidates for secretary and only $2$ for treasurer. Find in how many ways the election may turn out.
My Attempt :
Among the no of candidates for respective position, we can select only one for each post.
Thus, the no of ways in which the election may turn out $=^8C_1times ^5C_1times ^2C_1$
Is that approach ok?
proof-verification combinations
$endgroup$
add a comment |
$begingroup$
In a certain election there are $8$ candidates for president, $5$ candidates for secretary and only $2$ for treasurer. Find in how many ways the election may turn out.
My Attempt :
Among the no of candidates for respective position, we can select only one for each post.
Thus, the no of ways in which the election may turn out $=^8C_1times ^5C_1times ^2C_1$
Is that approach ok?
proof-verification combinations
$endgroup$
$begingroup$
Yes, your solution is correct.
$endgroup$
– N. F. Taussig
Mar 22 at 10:16
add a comment |
$begingroup$
In a certain election there are $8$ candidates for president, $5$ candidates for secretary and only $2$ for treasurer. Find in how many ways the election may turn out.
My Attempt :
Among the no of candidates for respective position, we can select only one for each post.
Thus, the no of ways in which the election may turn out $=^8C_1times ^5C_1times ^2C_1$
Is that approach ok?
proof-verification combinations
$endgroup$
In a certain election there are $8$ candidates for president, $5$ candidates for secretary and only $2$ for treasurer. Find in how many ways the election may turn out.
My Attempt :
Among the no of candidates for respective position, we can select only one for each post.
Thus, the no of ways in which the election may turn out $=^8C_1times ^5C_1times ^2C_1$
Is that approach ok?
proof-verification combinations
proof-verification combinations
asked Mar 22 at 2:33
pi-πpi-π
3,35021755
3,35021755
$begingroup$
Yes, your solution is correct.
$endgroup$
– N. F. Taussig
Mar 22 at 10:16
add a comment |
$begingroup$
Yes, your solution is correct.
$endgroup$
– N. F. Taussig
Mar 22 at 10:16
$begingroup$
Yes, your solution is correct.
$endgroup$
– N. F. Taussig
Mar 22 at 10:16
$begingroup$
Yes, your solution is correct.
$endgroup$
– N. F. Taussig
Mar 22 at 10:16
add a comment |
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$begingroup$
Yes, your solution is correct.
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– N. F. Taussig
Mar 22 at 10:16