Prove $c(n,n)+c(n+1,n)+cdots +c(m,n)=c(m+1,n+1).$
-3
$begingroup$
I came across this statement and I don't know how to prove it. Any help is appreciated.
$$c(n,n)+c(n+1,n)+...+c(m,n)=c(m+1,n+1), ;; mge n$$
induction binomial-coefficients
asked Jan 15 at 16:08
rezrez
11
$endgroup$
add a comment |
-3
$begingroup$
I came across this statement and I don't know how to prove it. Any help is appreciated.
$$c(n,n)+c(n+1,n)+...+c(m,n)=c(m+1,n+1), ;; mge n$$
induction binomial-coefficients
asked Jan 15 at 16:08
rezrez
11
$endgroup$
$begingroup$
Does c(m,n) mean $^mC_n?$ Also, did you mean $mge n$
$endgroup$
– Mohammad Zuhair Khan
Jan 15 at 16:10
$begingroup$
This is a prime example how questions should NOT look like...
$endgroup$
– maxmilgram
Jan 15 at 16:18
add a comment |
-3
-3
-3
$begingroup$
I came across this statement and I don't know how to prove it. Any help is appreciated.
$$c(n,n)+c(n+1,n)+...+c(m,n)=c(m+1,n+1), ;; mge n$$
induction binomial-coefficients
asked Jan 15 at 16:08
rezrez
11
$endgroup$
I came across this statement and I don't know how to prove it. Any help is appreciated.
$$c(n,n)+c(n+1,n)+...+c(m,n)=c(m+1,n+1), ;; mge n$$
induction binomial-coefficients
induction binomial-coefficients
asked Jan 15 at 16:08
rezrez
11
asked Jan 15 at 16:08
rezrez
11
edited Jan 15 at 17:24
rez
asked Jan 15 at 16:08
rezrez
11
asked Jan 15 at 16:08
rezrez
11
asked Jan 15 at 16:08
rezrez
11
11
$begingroup$
Does c(m,n) mean $^mC_n?$ Also, did you mean $mge n$
$endgroup$
– Mohammad Zuhair Khan
Jan 15 at 16:10
$begingroup$
This is a prime example how questions should NOT look like...
$endgroup$
– maxmilgram
Jan 15 at 16:18
add a comment |
$begingroup$
Does c(m,n) mean $^mC_n?$ Also, did you mean $mge n$
$endgroup$
– Mohammad Zuhair Khan
Jan 15 at 16:10
$begingroup$
This is a prime example how questions should NOT look like...
$endgroup$
– maxmilgram
Jan 15 at 16:18
$begingroup$
Does c(m,n) mean $^mC_n?$ Also, did you mean $mge n$
$endgroup$
– Mohammad Zuhair Khan
Jan 15 at 16:10
$begingroup$
Does c(m,n) mean $^mC_n?$ Also, did you mean $mge n$
$endgroup$
– Mohammad Zuhair Khan
Jan 15 at 16:10
$begingroup$
This is a prime example how questions should NOT look like...
$endgroup$
– maxmilgram
Jan 15 at 16:18
$begingroup$
This is a prime example how questions should NOT look like...
$endgroup$
– maxmilgram
Jan 15 at 16:18
add a comment |
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$begingroup$
Does c(m,n) mean $^mC_n?$ Also, did you mean $mge n$
$endgroup$
– Mohammad Zuhair Khan
Jan 15 at 16:10
$begingroup$
This is a prime example how questions should NOT look like...
$endgroup$
– maxmilgram
Jan 15 at 16:18