Word Count : 241

---

We are given: * Set: $S = \{1, 2, 3, 4\}$ * Binary operation: $a * b = a$ We are to: 1. Construct the Cayley table for $(S, *)$ 2. Check if $*$ is commutative 3. Check if $*$ ______ ______ _____ ______ _____ ________ _________ __________ _____ ______ __________ ___.
________ _______ _____ ________ _______ ___ ______ _________ ____ _________ ___.
_________ _________ ___ ____ _____ __________ _________.
__________ ________ _________ ____ ________.
______ ______ _________ _________ ___.
___ ________ ______ _________ _______ ___ ________ _________ ______ _________.
_________ __________ _______ ______ __________ __________ ______ ____ _____ _________ _______ ____.
_________ ____ ____ ____ ____ ____ __________.
________ _____ __________ ________ ___ ________ _____.
____ __________ ______ ____ _______ __________ ________ _________.
______ _______ _________ ______ _________ _____ ________ ____ _____ ____ ____.
____ ___ ___ ______ ______ _________ _______ _____ ___.
______ ____ ________ ________ ____ ____ __________ ________ _____ ______ ________ ___.
______ __________ __________ _____ ___ ____.
___ ___ _______ ____ ______ ___ ____ ____ _______ ____ ________.
_________ _____ _______ ______ _____ ________ ________ ________ _________ _______ _________ ______.
____ __________ __________ _______ ____ ________ ___ _______ _________ _____.
_________ ________ ____ _______ _____ _______ _____ ______ ________ __________.
_______ _______ ____ ____ _______ ______ _______ _________ ________.
_______ _______ _______ ______ _________.
_____ _____ ______ ________ ______ ______ ______ ________ __________ ___ _____ ____.
____ ___ _______ _______ _______ _______.
_________ ________ ___ ______.
Get Full Answer on WhatsApp