anonymous
  • anonymous
10 pencils and 8 pens are in a box, 11 writing utensils are to be selected at random, without replacement from the box, If the pens and pencils are equally likely to be selected, determine the probability that seven pencils and four pens are selected.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I think it is 10 Choose 7 times 8 Choose 4 10! 8! ---- * ---- 7! 3! 4!4!
anonymous
  • anonymous
{(10C7)*(8C4)]/(18C11)
anonymous
  • anonymous
10 * 9 * 8 * 7! ------------ = 120 7! * 3 * 2 * 1 8 * 7 * 6 * 5 * 4! -------------- = 70 4! * 4 * 3 * 2 * 1

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anonymous
  • anonymous
18! ---- 11! 7! 18 * 17 * 16 * 15 * 14 * 13 * 12 *11! --------------------------------- = 31824 11! * 7 * 6 * 5 * 4 * 3 * 2 * 1
anonymous
  • anonymous
120 * 70 -------- 31824 8400 ------ needs to be reduced. 31824
anonymous
  • anonymous
175/663

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