14. One day, 84 vehicles were stopped by the police for a spot check and 75% of them were satisfactory. Among the vehicles that remained were those that had no Road Worthy Certificates or Motor Vehicle Insurance Certificates or both of these 4/7 had no Road Worthy Certificates and 7 had no Road Worthy Certificates only. Find the number of vehicles without (i) Road Worthy Certificates and Motor Vehicle Insurance Certificates, (ii) Motor Vehicle Insurance Certificates only, (iii) Motor Vehicle Insurance Certificates. (a) (b) Draw a Venn diagram of a universal set U containing all vehicles stopped by the police. Pls answer​

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.