1. 5 coins are tossed
a) In how many ways will the first coin turn up heads and the last coin turn up tails
b) Draw a tree diagram to illustrate the different possibilities
c) In hoe many ways will the 2nd , 3rd, and 4th coins all turn heads
d) Would the same possibilities arise if one coin is tossed 5 times in succession.
2. Determine the number of ways of arranging the letters in the word handle if
a)there are no restrictions.
b) 1st letter must be a consonant
c)the 2nd and 5th letter must be vowels.
3. solve for n
a)P(n,5)=42*P(n,3)
b)(n+2)!=56 n!
c)P(n,5)=20P(n,3)