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yuradex
3 months ago
15

steven has 9 different shirts 5 different hats 4 different scarves. Steven thinks that if he picks just two of the three items o

f clothing there will be more than 180 combinations. is the correct
Mathematics
1 answer:
Inessa [12.5K]3 months ago
6 0

Answer:

Steven is mistaken.

Step-by-step explanation:

Steven has

  • 9 unique shirts
  • 5 unique hats
  • 4 unique scarves.

He selects only two out of the three types of clothing. The combinations can be calculated as

  • 9\cdot 5=45 options to select a shirt and a hat;
  • 5\cdot 4=20 options to select a hat and a scarf;
  • 9\cdot 4=36 options to select a shirt and a scarf.

In total, there are

45+20+36=101

different methods to choose just two out of the three clothing items.

As a result, 101 Steven is not correct.

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