COUNTING 1) How many lists of length 5 can be made from the letters S,T, U, V,W,X,Y,Z, with (i)repetition is allowed (ii)repetition is not allowed (iii) repetition is not allowed and the list must contain S (iv) repetition is allowed and the list must contain S 21 Tf1

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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How can we do counting ?
COUNTING
1) How many lists of length 5 can be made from the letters S,T, U, V,W,X, Y,Z, with
(i)repetition is allowed
(ii)repetition is not allowed
(iii) repetition is not allowed and the list must contain S
(iv) repetition is allowed and the list must contain S
2) If you toss a coin, roll a six-sided die, and pick a card from a 52-card deck.
(i) How many total outcomes are there?
(ii) How many outcomes where the dice lands on an odd number?
(iii) How many outcomes are there where the dice lands on an odd number and the card is a king?
Transcribed Image Text:COUNTING 1) How many lists of length 5 can be made from the letters S,T, U, V,W,X, Y,Z, with (i)repetition is allowed (ii)repetition is not allowed (iii) repetition is not allowed and the list must contain S (iv) repetition is allowed and the list must contain S 2) If you toss a coin, roll a six-sided die, and pick a card from a 52-card deck. (i) How many total outcomes are there? (ii) How many outcomes where the dice lands on an odd number? (iii) How many outcomes are there where the dice lands on an odd number and the card is a king?
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