IN a party of 12men and 6women, each of them shakes hands with one another..bt females do not ..find the total number of handshakes
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By Ralph Connelly, Posted February 24, 2014 –
Well, I’ve now been officially initiated into the blogosphere (is that actually a word?) I really appreciated those who took the time to comment on the first task, and I am sincerely hoping that this blog entry, the discussion of the task, encourages more discussion/comments.
So, how’d you do with the Handshake task? If you missed it, here’s the link.
As you know, I love this problem! It’s overflowing with the variety of problem-solving strategies that can be brought to bear in its solution—act it out, draw a diagram, look for a pattern, solve a simpler problem, make an organized list, make a table, use logical reasoning, . . . .
Young students (and math-anxious teachers) can use (and combine) the strategies of acting the problem out, solving a simpler problem, and looking for a pattern, as they build up to the given problem. For example, have 2 students act it out—1 handshake
3 students—3 handshakes
4 students—6 handshakes
5 students—10 handshakes
6 students—15 handshakes