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(1 point) you have 3 pairs of pants or skirts, 4 shirts or blouses, and 5 pairs of shoes. you can use them to wear 60 different outfits. you are a participant in a peace conference with 10 participants. everybody shakes everybody else's hand. there are 45 handshakes altogether. a family of five is taking an extended vacation. every day at lunch they stand in line at a cafeteria in a different order than ever before. on the last day, however, they can't help repeating a previous order. their vacation lasted 120 days.

Respuesta :

1) Total different combinations of Pants, shirts and shoes are 60 .

2) Total number of handshakes = 45

3) The family's vacation lasted for 120 days.

What is combination in probability?

The discrete mathematics discipline of combinatorics is built on combinations and permutations. There is only counting in combinatorics. Counting appears simple at first glance. Since it was the first type of mathematics learned in school, it is no surprise. It turns out that counting is remarkably non-trivial, and mathematicians are currently working to solve a vast number of open combinatorial problems.

Any unordered subset of the given set of n distinct objects with size r≤n is referred to as a combination. "N choose r" stands for "n number of combinations of size r that can be formed from n different objects, without repetition." nCr may be written in some sources in its place.

Learn more about combinations

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