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Unit 5 Combinatorics AFL

Last updated over 5 years ago

15 Nsɛmmisa

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Asemmisa {{asɛmmisaAhyɛnsode}}

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?

Asemmisa {{asɛmmisaAhyɛnsode}}

2.

Wendy's offers a choice of 3 sandwiches, 3 sides and 6 drinks. How many different combo meals can you order?

Asemmisa {{asɛmmisaAhyɛnsode}}

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?

Asemmisa {{asɛmmisaAhyɛnsode}}

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?

Asemmisa {{asɛmmisaAhyɛnsode}}

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?

Asemmisa {{asɛmmisaAhyɛnsode}}

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?