Page 37 - Math SL HB Sem 1

ts L-i t 1 J1.i 1 T I-i E Lr R-E \.{
-r

S\-N{tsOL I lanrlnl

Lets consider the product of the firsr 30 posirire imeqers i e.
lil^-1 ^ x 29 x i0 = 10 ! ( sav .. _10 facrorial.. i

. ilue har.e n inte-qc-rs: n ! =n x (n_ I
)x (n_2.1 ...1., l, l
^
:
) n 1 ) ,. _ 1,2,1
(n r 111 (n rl , * ( n _ { n 2 t \..
a = (n+1),r n1
\trte: b,v- definiLion: 0!:1

COJ\.TBIN A.TORY SYMBOL
Read as '' choose r fronr n ,,

Fcr nonnegutive integers r and n,0 s r < n
("\ _ n!
(,,/ - C r !(n r)!
-

l:t' ampie I Find

._ 6l
il i 6t rh) (c) 9!
5!
l ' ' - 6! I
I i

F s arnp e E vai uate the follor.r.ing

/ 8'i rl
,t l
lr, (b)
I
l,

(c) "-lc, (d) 2"-'c.;

l

l

rt

i