Answer:
It's 35
Step-by-step explanation:
I took a test that had this question on it and it said this was the right answer.
Different combination to pulls out 4 coins each time from 7coins is equals to 35.
" Combination is defined as the selection of the objects from the given set where arrangement of order does not matter."
Formula used
[tex]nC_{r} = \frac{n!}{(n-r)!r!}[/tex]
According to the question,
Total number of coins 'n' = 7
Number of coins pulls out each time 'r' = 4
Substitute the value in the formula to get different combination,
[tex]7C_{4} = \frac{7!}{(7-4)!4!}[/tex]
[tex]= \frac{(7)(6)(5)(4!)}{(3!)(4!)} \\\\=\frac{(7)(6)(5)}{(3)(2)(1)}\\\\=(7)(5)\\\\=35[/tex]
Hence, different combination to pulls out 4 coins each time from 7coins is equals to 35.
Learn more about combination here
https://brainly.com/question/19692242
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