General rules: find the following values:?

Question

General rules: find the following values:

C(n,n) = ?

C(n,1) = ?

C(n,0) = ?

Show ALL work, thanks.

Answer 1

C(n,n) = n!/n!(n-n)! = n!/n!0! = n!/n!*1 = 1

C(n,1) = n!/1!(n-1)! = n!/(n-1)! by definition = n

C(n,0) = n!/0!(n-0)! = n!/0!n! = n!/1*n! = n!/n! = 1

Answer 2

you're able to sell while the predicted fee of return from the investments you presently very own will become equivalent to or decrease than an option investment of equivalent threat. It sounds slightly complicated, even though if that may not all that undesirable. Your returns from the inventory marketplace are available in 2 types (dividends or appreciation). the fee of return you acquire from possessing a inventory relies upon on its fee. If a inventory pays a $2 dividend each three hundred and sixty 5 days and you pay $20 for it, you will get a 10% annual return. even though if if the inventory rises to $40, your fee of return drops to in undemanding terms 5%. in case you will get 5% plenty extra effectively from a bond or economic business enterprise CD, then sell the inventory!! of course dividends are not the only way a inventory can earn you returns. the fee may additionally circulate up. Over the long term, a inventory fee relies upon on how plenty money a corporation earns. the fee at which the corporation's income strengthen is likewise an factor of your return: So if a inventory pays a 5% dividend and additionally grows at 4% according to three hundred and sixty 5 days, you could anticipate 9% (over the long term). In an interest fee environment like what we've right this moment, 9% is particularly darn stable. yet there have been factors in cutting-edge history the place US government bonds have been paying extra effective than 9%. for an identical fee of return, which may well be a safer place to park your cash, a US treasury bond or BP inventory? you're able to desire to consistently determine that there isn't a safer place you're able to desire to place your cash that could desire to earn comparable returns to what you have already got. What do you anticipate for growth and dividends from BP going forward? Is it such as what you're able to desire to earn from a safer inventory like an electric powered application or a shopper staple? Do the risks from possessing F justify the predicted returns? the place might desire to you earn greater returns for an identical threat OR an identical returns for decrease threat? those are the questions you're able to desire to respond to while determining even though if or to not sell.

Answer 3

C(n,n)=n!/[(n-n)!n!]=n!/[0!n!]=n!/n!=1
C(n,1)=n!/[(n-1)!1!]=n(n-1)!/[(n-1)!]=n
C(n,0)=n!/[(n-0)!0!]=n!/n!=1

Answer 4

nCn=n(n-1)(n-2)......(n-r+1)....(5)(4)(3)(2)(1)/
1*2*3*.....(n-4)(n-3)(n-2)(n-1)(n)
=1
another way of looking at it would be nCn=n!/n!(n-r)!
=n!/n!!(n-n)!
=n!/n!0!
=n!/n!
=1
nC1=n things taken 1 at a time so n combinations
or n!/(n-1)!*1!
n(n-1)!/(n-1)!
=n

nC0=1 n things taking0 at a time so only one combination possible
also nC0=nC(n-0)
=nCn
=1
or
n!/(n-0)!*0!
=n!/n!
=1