Salami

How many ways can we choose 5 pcs of salami if we have 6 types of salami for 10 pieces and one type for 4 pieces?

Correct answer:

x =  461

Step-by-step explanation:

C5(10)=(105)=10!5!(105)!=10987654321=252 C5(9)=(95)=9!5!(95)!=98764321=126 C5(8)=(85)=8!5!(85)!=876321=56 C5(7)=(75)=7!5!(75)!=7621=21 C5(6)=(65)=6!5!(65)!=61=6 k=5 x=(10k)+(9k)+(8k)+(7k)+(6k)=252+126+56+21+6=461



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 5 comments:
#
Hello
I tried using (1/120) as a base to multiply the spaces 1/5 but then I end up with too many to multiply

#
Hello
It gets to a really small number!

#
What_the_what
This question is very unclear. choosing 5 pieces from 6 types for 10 pieces and 1 type for 4 pieces doesn't even make sense. How do we unpack this question?

#
Math student
My answer is 462
C(7,5) = 11!/ (5![6!) = 462

1 year ago  1 Like
#
Math student
Answer should be 461, since we have to subtract the selection where we selected 0,0,0,0,0,0,5 which isn't possible because the last type has only 4 pieces.

1 year ago  1 Like
avatar







Tips to related online calculators

Related math problems and questions:

  • Chess
    sachovnica How many ways can select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
  • Combinations 6
    dices2 6 purses 9 flaps 12 straps Every combination must include 1 purse, 1 flap, and 1 strap. How many are possible combinations?
  • Candy
    bulls How many ways can divide 10 identical candies to 5 children?
  • Cinema
    stale_kvoka How many ways can be divided 11 free tickets to the premiere of "Jáchyme throw it in the machine" between 6 pensioners?
  • Two groups
    skola The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
  • Divide
    hrusky How many different ways can three people divide 7 pears and 5 apples?
  • Combinations of sweaters
    sveter I have 4 sweaters two are white, 1 red and 1 green. How many ways can this done?
  • A book
    books A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
  • Five-digit numbers
    numbers2 How many different five-digit numbers can be created from the numbers 2,3,5 if the number 2 appears in the number twice and the number 5 also twice?
  • Beads
    koralky2 How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
  • There 8
    dices2 There are 7 women and 5 men in a department. a) how many ways can a committee of 3 people be selected? b) how many ways can a committee of 2 men and 1 woman be selected? c) how many ways can a committee of at least 2 woman be selected (3 people total)?
  • Competition
    sutaz 15 boys and 10 girls are in the class. On school competition of them is selected 6-member team composed of 4 boys and 2 girls. How many ways can we select students?
  • Families 2
    family Seven hundred twenty-nine families are having six children each. The probability of a girl is 1/3, and the probability of a boy is 2/3. Find the number of families having two girls and four boys.
  • Three workplaces
    workers How many ways can we divide nine workers into three workplaces if they need four workers in the first workplace, 3 in the second workplace, and 2 in the third?
  • STRESSED word
    DESSERTS Each letter in STRESSED is printed on identical cards, one letter per card, and assembled in random order. Calculate the probability that the cards spell DESSERTS when assembled.
  • A student
    test A student is to answer 8 out of 10 questions on the exam. a) find the number n of ways the student can choose 8 out of 10 questions b) find n if the student must answer the first three questions c) How many if he must answer at least 4 of the first 5 ques
  • Exchange € 100
    penize Find out how many ways you can exchange € 100 if you have an unlimited number of 50, 20, 10 and 5 euro banknotes. Use a method other than listing all options systematically.