Question

13 students vie for the right t fill up my car weekly during a month. there are 4 weeks in the chosen month. how many different groups are there if ;

1) order is not important

2) order is important

3) there can be repeats

Step 1

**Combinations:**

It defines the number of possible ways an object can be selected from a group. In combinations, the order of selection does not matter.

**Permutations:**

It defines the number of possible ways an object can be arranged or ordered. In permutations, order does matters.

Step 2

**1) Number of different groups when order is not important:**

Here, the value of *n* is 13 and the value of *x* is 4. Since order is not important, the combination is appropriate.

The number of different groups when order is not important is obtained as **715**, from the calculations given below.

Step 3

**2)** **Number of different groups when order is important:**

The number of different groups when order is important i...

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