Use the information on
page 690
to explain how permutations and combinations apply to softball. Explain how to find the number of 9 person lineups that are possible and how many ways there are to choose 9 players if 16 players show up for a game.
11-8
Proof and
Mathematical Induction
Main Ideas
darbo
zda
DE SIXIKI
ge
GET READY for the Lesson
Irragine the peritive internas Indeer that
You that
wap to the top of the land, basad
online file and a mail which shop
are
an, you can always climb one step highes
Is there ary step you cannot cach?
New Vocabulary
materialien
nhapter
Mathematical Induction Mathematical induction is done
statements et petites. This was
KEY CONCEPT
Mothermetical Induction
Slup Share that the statement is true for some pointgart
siga Asur= that the stateural is in
urity
where. This assumption is called the inductive hypothesis.
Sim Shmilie depulis rumpaliingil
sowe sure that the stories for a pestiger
Study Tip
Step 1
I will
EXAMPLE Summation Formula
Prove that 12+3+…+
++)
Step 1 when – 1. the ideal the pionequena is 1or 1
111 – 112-11
Thenght sides
ist1
Step 2 Assume +2
kurpesitive
Step Show that the greepustion is true formei +1
1+2+3+…++ -11
– 1162 +13
11
+13+
1112-11
0-10-23
670 Chapter 11 SMITH A
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