Variations + combinations with repetition - math problems

Number of problems found: 7

Beads
How many ways can we thread 4 red, 5 blue, and 6 yellow beads onto a thread?
Word MATEMATIKA
How many words can be created from the phrase MATEMATIKA by changing the letters' order, regardless of whether the words are meaningful?
Two groups
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?
Three reds
What is the probability that when choosing 3 carats from seven carats, all 3 reds will be red?
Wagons
We have six wagons, two white, two blue, and two red. We assemble trains from them, wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train, because I don't know any different. How many di
STRESSED word
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.
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?

We apologize, but in this category are not a lot of examples.
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