Mathematics - Binomial Theorem Question with Solution | TestHub

1) Number of onto functions from a set containing 6 elements to a set containing 5 elements $={}^6{C}_2.5!=1800$ 2) Number of onto functions from a set containing 5 elements to a set containing 6 elements $=0$; note the printed LHS in (b) and (d) begins with $5^6$ (misprint for $6^5$ ), which makes both statements false as printed. 3) Number of onto functions from a set containing 6 elements to a set containing 6 elements $=6!=720$