Unit 5 Combinatorics AFL
By Angela Stewart
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Last updated over 3 years ago
15 Questions
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1.
There are a choice of 18 birthday cards, 6 Get Well cards, 9 Graduation cards, and 12 Anniversary cards. You select one of each. What is the total number of ways the cards can be selected?
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2.
Wendy's offers a choice of 3 sandwiches, 3 sides and 6 drinks. How many different combo meals can you order?
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3.
A person can order a new computer with a choice of 5 colors, three hard drive sizes, with or without Blu-ray, with or without a printer, with a 20 or 24 inch monitor screen, and with an i5 or i7 processor. In how many different ways can a new computer be ordered?
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4.
A math class has 12 boys and 15 girls. A group of six students are selected randomly to participate in a survey. How many different groups can be formed if each group must contain exactly 2 boys and exactly 4 girls?
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5.
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6.
How many arrangements can be made using 4 letters of the word FLOWCHARTING if no letter is to be used more than once?
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7.
In how many ways can a distinct 10-digit number be made using five 1's and five 5's?
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8.
To win at Powerball in a certain state, one must correctly select 6 numbers from a collection of 65 numbers (one through 65). The order in which the selections are made does not matter. How many different selections are possible?
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9.
A club elects a president, vice-president, and secretary-treasurer. How many sets of officers are possible if there are 24 members and any member can be elected to each position? No person can hold more than one office.
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10.
Evaluate
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11.
In how many distinct ways can the letters in MISSISSIPPI be arranged?
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12.
In a contest in which 12 contestants are entered, in how many ways can the 4 distinct prizes be awarded?
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13.
How many different six letter user ID's can be formed from the alphabet if repetition of letters is allowed?
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14.
How many different six letter user ID's can be formed from the alphabet if no repetition of letters is allowed?
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15.
A security code consisted of two odd digits, followed by four even digits. To allow more codes to be generrated, a new system uses two even digits, followed by any three digits. If repeated digits are allowed, what is the INCREASE in the number of possible codes?
