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(Solved): Give an expression for the answer using permutation notation, combination notation, factorial nota ...



Give an expression for the answer using permutation notation, combination notation, factorial notation, or other operations.

Give an expression for the answer using permutation notation, combination notation, factorial notation, or other operations. Then evaluate. Of the first 9 questions on a test, a student must answer 7 . Of the second 7 questions, the student must answer 3 . In how many ways can this be done? Identify which notation properly depicts the solution to this problem. Select all that apply. A. \( \frac{9 !}{7 !(9-7) !}+\frac{7 !}{3 !(7-3) !} \) B. \( { }_{9} \mathrm{P}_{7} \cdot{ }_{7} \mathrm{P}_{3} \) C. \( { }_{9} \mathrm{C}_{7}+{ }_{7} \mathrm{C}_{3} \) D. \( \frac{9 !}{7 !(9-7) !} \cdot \frac{7 !}{3 !(7-3) !} \) E. \( { }_{9} \mathrm{P}_{7}+{ }_{7} \mathrm{P}_{3} \) F. \( { }_{9} \mathrm{C}_{7} \cdot{ }_{7} \mathrm{C}_{3} \) G. \( \frac{9 !}{(9-7) !} \cdot \frac{7 !}{(7-3) !} \) H. \( \frac{9 !}{(9-7) !}+\frac{7 !}{(7-3) !} \) I. \( \frac{9 !}{3 !(9-3) !} \) J. \( { }_{9} \mathrm{P}_{3} \) K. \( \frac{9 !}{(9-3) !} \) L. \( { }_{9} \mathrm{C}_{3} \)


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we have to choose 7 question out of 9. a
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