Can you do combinations on a calculator

The "no" rule which means that some items from the list must not occur together. The "pattern" rule is used to impose some kind of pattern to each entry. Example: the "has" rule a,b,c,d,e,f,g has 2,a,b Combinations of a,b,c,d,e,f,g that have at least 2 of a,b or c. Example has 1,a,b,c Will allow if there is an a , or b , or c , or a and b , or a and c , or b and c , or all three a,b and c.

In other words, it insists there be an a or b or c in the result. Example has 2,a,b,c Will allow if there is an a and b , or a and c , or b and c , or all three a,b and c. That is to say, if each person shook hands once with every other person in the group, what is the total number of handshakes that occur? A way of considering this is that each person in the group will make a total of n-1 handshakes.

Since there are n people, there would be n times n-1 total handshakes. In other words, the total number of people multiplied by the number of handshakes that each can make will be the total handshakes. However, this includes each handshake twice 1 with 2, 2 with 1, 1 with 3, 3 with 1, 2 with 3 and 3 with 2 and since the orginal question wants to know how many different handshakes are possible we must divide by 2 to get the correct answer.

The order of the items chosen in the subset does not matter so for a group of 3 it will count 1 with 2, 1 with 3, and 2 with 3 but ignore 2 with 1, 3 with 1, and 3 with 2 because these last 3 are duplicates of the first 3 respectively. For more information on combinations and binomial coefficients please see Wolfram MathWorld: Combination. Basic Calculator. Discrete Math. Example: How many possible combinations of 2 cards can be chosen from a deck of 5 cards? There are 10 possible combinations of choosing 2 cards from a deck of 5 cards.

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