# Counting Combos: 5 T-Shirts & 3 Jeans: 15 Days

• Abc123Def
So in summary, a student with five different t-shirts and three pairs of jeans can dress without repeating the combination of jeans and t-shirt for 15 days. And without wearing the same t-shirt on two consecutive days, they can still dress for 15 days by rotating through all the jeans and t-shirts.

#### Abc123Def

A student has five different t-shirts and three pairs of jeans.

How many days can the student dress without repeating the combination of jeans & t-shirt?
How many days can the student dress without repeating the combination of jeans & t-shirt and without wearing the same t-shirt on two consecutive days?

I think the first question is pretty easy and I got it right... 5x3 = 15 days.

I'm not sure if I'm missing something for the second question, but I'm still getting 15 days. The student could just wear Jeans 1 with Shirts 1-5, then Jeans 2 with Shirts 1-5, and finally Jeans 3 with Shirts 1-5 right?

Abc123Def said:
A student has five different t-shirts and three pairs of jeans.

How many days can the student dress without repeating the combination of jeans & t-shirt?
How many days can the student dress without repeating the combination of jeans & t-shirt and without wearing the same t-shirt on two consecutive days?

I think the first question is pretty easy and I got it right... 5x3 = 15 days.

I'm not sure if I'm missing something for the second question, but I'm still getting 15 days. The student could just wear Jeans 1 with Shirts 1-5, then Jeans 2 with Shirts 1-5, and finally Jeans 3 with Shirts 1-5 right?

I don't see anything wrong with that.