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Select the correct answerA father with seven Children takes them 4 at a time to the picture as often as he can without taking the same 4 children together more than once the number of times that he can go to the cinema is?Options60353248

Question

Select the correct answerA father with seven Children takes them 4 at a time to the picture as often as he can without taking the same 4 children together more than once the number of times that he can go to the cinema is?Options60353248

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Solution

The answer to this question can be found by using the combination formula, which is nCr = n! / r!(n-r)!.

In this case, n is the total number of children, which is 7, and r is the number of children taken at a time, which is 4.

So, the calculation would be 7C4 = 7! / 4!(7-4)!.

This simplifies to (765) / (321) = 35.

So, the father can take his children to the cinema 35 times without repeating the same group of 4 children.

Therefore, the correct answer is 35.

This problem has been solved

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