a) 20! / 15!
20! / 15! = 20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1 / 15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
20! / 15! = 20*19*18*17*16
20! / 15! = 1860480
b) P[ 6, 2 ]
P[ n, r ] = n! / r!
P[ 6, 2 ] = 6! / 2!
P[ 6, 2 ] = 6*5*4*3*2*1 / 2*1
P[ 6, 2 ] = 6*5*4*3
P[ 6, 2 ] = 360
c) C[ 9, 8 ]
C[ n, r ] = n! / ( r! * (n-r)! )
C[ 9, 8 ] = 9! / ( 8! * (9-8)! )
C[ 9, 8 ] = 9! / ( 8! * 1! )
C[ 9, 8 ] = 9*8*7*6*5*4*3*2*1 / ( 8*7*6*5*4*3*2*1*1 )
C[ 9, 8 ] = 9
45. Find the value of the combination C(6,2).
Solve the following: 22!/20! P[8,7] C[6,3]
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