Page 37 - Math SL HB Sem 1

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tsllii-i1 J1 lL f HELTRI\ I

sl.\tBor_ :rnrl n l

Lers consider rhe product of rhe first 30 posirir e inresers i c.
1^l. jx. ,29 x,l0
= 30 ! ( sa1,.,,i0 tecrorial_. )
. rf ue itale n inreqers: nl=nx(n-l)r(n
21*..3r2_"1
(n+i)l : (n i 1),,n^(n _l ), (p_l )r.. l,l,l

a = (n+1)" nl
\ore: b_v definirion: 0!-l

COX,{BIN.4.TORY SYMBOL
Read as '' choose r from n -,
<
Fcr nonnegative integers r and n, 0 r < n

("\ ,.C,
_ nl
-
l, ,l r l(n r)!
I
Erample l: Find
I
(o,* (c) 9! l
(a) 6l I
6!

Fr :l nr I (- l Evaluate the follovi.ing

,l lri
rjl (b j
ir)

|
(c, "- c , (dl '"-' c ..

l

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