Express the following in terms of factorials 4.5.6.7.8.9.10.11

Express the following in terms of factorials 2.4.6.8.10

Convert into factorials 4.5 .6 .7 .8 .9 .10 .11

State with reason whether the following functions have inverse g : {5, 6, 7, 8} rarr {1, 2, 3, 4} with g = {(5, 4), (6, 3), (7, 4), (8, 2)}

Find the sum to 'n' terms of the series 3xx8+6xx11+9xx14+…....

State with reason whether the following functions have inverse h : {2, 3, 4, 5} rarr {7, 9, 11, 13} with h = {(2,7), (3,9), (4, 11), (5, 13)}

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. i) {(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} ii) { (2,1,(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} iii) {(0,0),(1,1),(1,-1),(4,2),(4,-2),(9,3)(9,-3),(16,-4), (16,-4)} iv) {(1, 2),(1,3),(2,5)} v) {(2,1),(3,1),(5,2)} vi) { (1,2),(2,2),(3,2)}

Consider the Venn diagram of the Universal set U={1,2,3,4,5,6,7,8,9,10,11,12,13} Verify (A uuu B)'=A' nnn B'

Consider Venn diagram of the Universal set U={1,2,3,4,5,6,7,8,9,10,11,12,13} . Write sets A ,B in Roaster form.

Consider Venn diagram of the Universal set U={1,2,3,4,5,6,7,8,9,10,11,12,13} . Find n(A nn B) .

Consider the Venn diagram of the Universal set U={1,2,3,4,5,6,7,8,9,10,11,12,13} Find n(A nnn B)'