There are three pairs of socks of three different types A, B, and C in a drawer. The goal is to pair these socks. If socks are pulled out two at a time and put back if not matching, what is the maximum number of times repeating this process until the socks are paired?

Question

Mathematics

Philip

24 May, 00:53

There are three pairs of socks of three different types A, B, and C in a drawer. The goal is to pair these socks. If socks are pulled out two at a time and put back if not matching, what is the maximum number of times repeating this process until the socks are paired?

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Schroeder · Answer 1

Answer:120

Step-by-step explanation:Total number of 3 pairs of socks=6

Socks pull in 2s n put back if not matching

P (n) = n! = 6!/3! = 6*5*4*3*2 / (3*2)

=120