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HELP needed (8ncr1)
how do u work 8ncr 1 without a calculator
i thought it was
8!
1!
= 8x7x6x5x4x3x2x1
1
= 40320 which is clearly wrong
i thought it was
8!
1!
= 8x7x6x5x4x3x2x1
1
= 40320 which is clearly wrong
Triple D
how do u work 8ncr 1 without a calculator
i thought it was
8!
1!
= 8x7x6x5x4x3x2x1
1
= 40320 which is clearly wrong
i thought it was
8!
1!
= 8x7x6x5x4x3x2x1
1
= 40320 which is clearly wrong
if you mean 8C1 then this is 8!/1!(8-1)!=8!/7!=8
Jonny W
It's often easier to use the formula
nCr = n*(n - 1)*(n - 2)*...*(n - r + 1) / r!
instead of
nCr = n!/[r!(n - r)!]
For example,
7C2 = 7*6/2! = 21
is easier to do than
7C2 = 7*6*5*4*3*2*1 / [(1*2)*(1*2*3*4*5)] = 21
nCr = n*(n - 1)*(n - 2)*...*(n - r + 1) / r!
instead of
nCr = n!/[r!(n - r)!]
For example,
7C2 = 7*6/2! = 21
is easier to do than
7C2 = 7*6*5*4*3*2*1 / [(1*2)*(1*2*3*4*5)] = 21
Perhaps. Or you could just cancel the 5! from the second expression and it will reduce to 7*6/2!.
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