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how many 4 combinations of the set a 1 2 3 4 5 6 7 8 9 0 contain 2 and 0

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How many 4-combinations of the set A=(1,2,3,4,5,6,7,8,9,0) contain 2 and 0?

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Answer to a math question How many 4-combinations of the set A=(1,2,3,4,5,6,7,8,9,0) contain 2 and 0?

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To find the number of 4-combinations of the set A=(1,2,3,4,5,6,7,8,9,0) that contain both 2 and 0, we can use the combination formula.
The set A contains 10 elements. We need to choose 2 elements from the remaining 8 elements to complete the 4-combination.
So, the number of ways to choose 2 elements from 8 is given by:

2\cdot\binom{8}{2}=56

.Than, multiply it by possible variants of placing 0 and 2:

2*6*56=672

\textbf{Answer:}

\boxed{672}

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