1). How many ways can you arrange the letters in the word "MISSISSIPPI"?
2). In how many ways can 4 books be arranged on a shelf?
3). A group of 5 students is taking a photo. In how many ways can they arrange themselves in a row for the photo?
4). How many different three-letter words can be formed using the letters A, B, C, and D if repetition is allowed?
5). If there are 7 people in a race, how many different ways can they finish in first, second, and third place?
6). A committee of 3 members is to be selected from a group of 10 people. How many different committees can be formed?
7). In how many ways can you arrange the digits 1, 2, 3, 4, 5 without repetition to form a 5-digit number?
8). How many different 4-letter codes can be created using the letters A, B, C, D, and E if repetition is allowed?
9). A lock consists of 5 different numbers. How many different combinations can be formed using 0, 1, 5, 7, 8 these Digits?
10). If you have 6 different books and you want to arrange them on a shelf, how many different arrangements are possible?
ANSWERS
1). \(\displaystyle \frac{11!}{4! \cdot 4! \cdot 2!}\)
2). \(4!\)
3). \(5!\)
4). \(4^3\)
5). \(7 \cdot 6 \cdot 5\)
6). \(720\)
7). \(5!\)
8). \(5^4\)
9). \(96\)
10). \(6!\)
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