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An algorithm that generates all r-permutations of an n-element set?
P(n,r)=(n!)/(r!(n-r)!)This would give you the number of possible permutations.n factorial over r factorial times n minus r factorial
How can you Find the number of combinations of objects in a set?
The number of R-combinations in a set of N objects is C= N!/R!(N-R)! or the factorial of N divided by the factorial of R and the Factorial of N minus R. For example, the number of 3 combinations from a set of 4 objects is 4!/3!(4-3)! = 24/6x1= 4.
How do you factor n square minus n minus 56?
The expression n2 - n - 56 factors to (n - 8)(n + 7).
What is the difference between a permutation and combination?
n p =n!/(n-r)! r and n c =n!/r!(n-r)! r
What is 6 minus n?
The value of 6 minus n depends on the value of n and cannot be answered until known. Once n is known, subtract it from 6 to get your answer.
An algorithm that generates all r-permutations of an n-element set?
P(n,r)=(n!)/(r!(n-r)!)This would give you the number of possible permutations.n factorial over r factorial times n minus r factorial
Prove that nCr plus nCr minus 1 equals n plus 1Cr?
nCr + nCr-1 = n!/[r!(n-r)!] + n!/[(r-1)!(n-r+1)!] = n!/[(r-1)!(n-r)!]*{1/r + 1/n-r+1} = n!/[(r-1)!(n-r)!]*{[(n-r+1) + r]/[r*(n-r+1)]} = n!/[(r-1)!(n-r)!]*{(n+1)/r*(n-r+1)]} = (n+1)!/[r!(n+1-r)!] = n+1Cr
What is Negative two n plus seven n minus r plus ten r?
It is 5n + 9r.
How can you Find the number of combinations of objects in a set?
The number of R-combinations in a set of N objects is C= N!/R!(N-R)! or the factorial of N divided by the factorial of R and the Factorial of N minus R. For example, the number of 3 combinations from a set of 4 objects is 4!/3!(4-3)! = 24/6x1= 4.
What is n squared minus n?
Algebraically it is written as ' n^(2) - n'. This factors to ' n(n-1)'.
How do you factor n square minus n minus 56?
The expression n2 - n - 56 factors to (n - 8)(n + 7).
What is 2 minus n minus 7n?
2-n-7n = 2-8n
How do you write n-5 as a algebraic expression in words?
n minus five five subtracted from n
What is the difference between a permutation and combination?
n p =n!/(n-r)! r and n c =n!/r!(n-r)! r
What is 6 minus n?
The value of 6 minus n depends on the value of n and cannot be answered until known. Once n is known, subtract it from 6 to get your answer.
Why is it said that poisson distribution is a limiting case of binomial distribution?
This browser is totally bloody useless for mathematical display but...The probability function of the binomial distribution is P(X = r) = (nCr)*p^r*(1-p)^(n-r) where nCr =n!/[r!(n-r)!]Let n -> infinity while np = L, a constant, so that p = L/nthenP(X = r) = lim as n -> infinity of n*(n-1)*...*(n-k+1)/r! * (L/n)^r * (1 - L/n)^(n-r)= lim as n -> infinity of {n^r - O[(n)^(k-1)]}/r! * (L^r/n^r) * (1 - L/n)^(n-r)= lim as n -> infinity of 1/r! * (L^r) * (1 - L/n)^(n-r) (cancelling out n^r and removing O(n)^(r-1) as being insignificantly smaller than the denominator, n^r)= lim as n -> infinity of (L^r) / r! * (1 - L/n)^(n-r)Now lim n -> infinity of (1 - L/n)^n = e^(-L)and lim n -> infinity of (1 - L/n)^r = lim (1 - 0)^r = 1lim as n -> infinity of (1 - L/n)^(n-r) = e^(-L)So P(X = r) = L^r * e^(-L)/r! which is the probability function of the Poisson distribution with parameter L.
What is n minus 10 plus 9n minus 3?
n - 10 + 9n - 3 = 10n - 13
