SMA

Bentuk sederhana dari  adalah ….

Bentuk sederhana dari begin mathsize 14px style 5 factorial minus 4 factorial minus 3 factorial end style adalah ….

A. begin mathsize 14px style 3 factorial end style

B. begin mathsize 14px style 4 factorial end style

C. begin mathsize 14px style 2 times 5 factorial end style

D. begin mathsize 14px style 15 times 3 factorial end style

E. begin mathsize 14px style 15 times 4 factorial end style

Pembahasan

Dengan menerapkan konsep faktorial dan sifat distributif, diperoleh perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 5 factorial minus 4 factorial minus 3 factorial end cell equals cell 5 times 4 times 3 factorial minus 4 times 3 factorial minus 3 factorial end cell row blank equals cell open parentheses 5 times 4 minus 4 minus 1 close parentheses 3 factorial end cell row blank equals cell open parentheses 20 minus 4 minus 1 close parentheses 3 factorial end cell row blank equals cell 15 times 3 factorial end cell end table end style

Jadi, jawaban yang tepat adalah D.

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