Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if both the I's are placed at the beginning and both the L's are placed at the end, between any two S's, there must be at least 4 other letters. (i) (ii) A group of 8 letters is randomly selected from the letters of the word MISSPELLINGS. Find the probability that (iii) all 8 letters are distinct, (iv) the 2 I's are next to each other, the 2 L's are next to each other, and the 3 S's are next to each other.
Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if both the I's are placed at the beginning and both the L's are placed at the end, between any two S's, there must be at least 4 other letters. (i) (ii) A group of 8 letters is randomly selected from the letters of the word MISSPELLINGS. Find the probability that (iii) all 8 letters are distinct, (iv) the 2 I's are next to each other, the 2 L's are next to each other, and the 3 S's are next to each other.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Transcribed Image Text:Find the number of ways in which all twelve letters of the word MISSPELLINGS can be
arranged if
both the I's are placed at the beginning and both the L's are placed at the end,
between any two S's, there must be at least 4 other letters.
A group of 8 letters is randomly selected from the letters of the word MISSPELLINGS.
Find the probability that
(iii) all 8 letters are distinct,
(iv) the 2 I's are next to each other, the 2 L's are next to each other, and the 3 S's are next to
each other.
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VIEWStep 2: Determine the number of ways to arrange the 12 letters in part i)
VIEWStep 3: Determine the number of ways to arrange the 12 letters in part ii)
VIEWStep 4: Determine the probability that all 8 letters are distinct.
VIEWStep 5: Determine the required probability for the (iv) part.
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