Respuesta :
There are 56 number of possible ways are there to select two items so that at least one jeans is chosen.
Combinations:
Combinations is the number of ways in which you can choose r elements out of a set containing n distinct objects.
The combination formula that will allow you to determine the number of combinations in no time:
C(n,r) = n! / (r! (n-r)!)
where:
C(n,r) is the number of combinations;
n is the total number of elements in the set; and
r is the number of elements you choose from this set.
Given,
A shop has 5 different shirts and 7 different jeans.
Here we need to find how many number of ways ways are there to select two items so that at least one jeans is chosen.
Let's say,
First, you picked up 1 jeans and 1 shirt …
Then the number of ways to do that is
=> ⁵C₁ x ⁷C₁
=> 5 x 7
=> 35
Similarly, in second case you picked up the only 2 jeans
number of ways to do that is
=> ⁷C₂
=> 21
So the final answer will be sum of both the cases that is
=>( ⁵C₁ x ⁷C₁ ) + (⁷C₂)
=> 35+21
=> 56 ways
Therefore, there are 56 possible ways to select two items so that at least one jeans is chosen.
To know more about Combinations here.
https://brainly.com/question/28571537
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