self Maths Puzzle

76^345*23^245=??
find the last digit?

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self Other Question

The number of permutations of letters a,b,c,d,e,f,g such that neither the pattern 'beg' nor 'acd' occurs is A group of children stand holding hands in a large circle and a teacher walks around a circle giving each child in order a number 1,2,3,4,5,6,7,8...... so on.. If number 12 standing opposite number 30. How many children are there in the circle.