- #1
rajatgl16
- 54
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In how many ways 7 persons can be selected from 5 indian, 4 british and 2 chinise, if atleast 2 are to be selected from each country.
The formula for calculating combinations is nCr = n! / r!(n-r)!, where n represents the total number of individuals and r represents the number of individuals being selected.
There are 120 possible combinations when selecting 7 persons from a group of 10. This can be calculated using the formula nCr = 10! / 7!(10-7)! = 120.
Combinations refer to the number of ways a group of items can be selected without regard to order, while permutations refer to the number of ways a group of items can be selected with regard to order.
The number of combinations will increase as the size of the group increases. This can be seen in the formula nCr, where the larger the value of n, the greater the number of possible combinations.
Combinations are used in various fields such as statistics, genetics, and computer science. Some examples of real-world applications include selecting a jury of 7 individuals, choosing a team of 7 players for a sports tournament, and creating a password using 7 characters from a set of possible options.