Question

Worksheet 1. A lock contains 3 dials, each with ten digits. How many possible sequences of numbers exist? 2. Four students are to be chosen from a group of 10 to fill the positions of president, vice-president, treasurer and secretary. In how many ways can this be accomplished? 3. How many ways can the letters MATH be arranged? 4. A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available? 5. Bill has three pairs of pants, 5 shirts and 2 pairs of shoes. How many outfits can he make?

          Worksheet
1. A lock contains 3 dials, each with ten digits. How many possible sequences of numbers exist?
2. Four students are to be chosen from a group of 10 to fill the positions of president, vice-president, treasurer and secretary. In how many ways can this be accomplished?
3. How many ways can the letters MATH be arranged?
4. A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?
5. Bill has three pairs of pants, 5 shirts and 2 pairs of shoes. How many outfits can he make?

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Worksheet
1. A lock contains 3 dials, each with ten digits. How many possible sequences of numbers exist?
2. Four students are to be chosen from a group of 10 to fill the positions of president, vice-president, treasurer and secretary. In how many ways can this be accomplished?
3. How many ways can the letters MATH be arranged?
4. A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?
5. Bill has three pairs of pants, 5 shirts and 2 pairs of shoes. How many outfits can he make?

Added by Micheal A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Avi Zellman

Step 1

Since there are three dials, the total number of possible sequences of numbers is 10 x 10 x 10 = 1000. For the second question, we need to choose four students from a group of 10. This is a combination problem, and the formula for combinations is nCr = n! / Show more…

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Worksheet A lock contains 3 dials, each with ten digits. How many possible sequences of numbers exist? Four students are to be chosen from group of 10 to fill the positions of president_ vice-president, treasurer and secretary: In how many ways can this be accomplished? How many ways can the letters MATH be arranged? A shelf can hold trophies How many ways can the trophies be arranged if there are 10 trophies available? Bill has three pairs of pants, 5 shirts and 2 pairs of shoes_ How many outfits can he make?

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