34. What is the number of distinguishable arrangements in the letters in the word SMITH?
34. What is the number of distinguishable arrangements in the letters in the word SMITH?
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:33. Wha
34.
letters in the word KARL
arrangements in the
What is the number of distinguishable arrangements in the
letters in the word SMITH?
35. The receiving line at a wedding consists of the bride, the groom,
parents of the bride, parents of the groom, the best man, and
the maid of honor (all in that order). In addition, there are
five groomsmen (in any order) followed by five bridesmaids
(in any order). In how many ways can the receiving line be
arranged?
36. A space shuttle mission consists of a commander, a pilot,
3 engineers, a doctor, a scientist, and a civilian. If there are
7 people from whom the commander and pilot must be chosen,
18 possible engineers, 4 possible doctors, 7 scientists and
3 candidates for the civilian crew member, in how many ways
can a crew be formed?
37. How many three-digit numbers can be formed using the
numerals {3, 4, 6, 7} without repetition?
38. How many three-digit numbers can be formed using the
numbers {1, 2, 3, 4, 5, 6, 7} without repetition?
Level 2
39. The advertisement shown here claims that the following 12 mix-
and-match items give 122 different outfits.
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