# Combinatories and Tree Diagram

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)

https://brainmass.com/math/discrete-structures/combinatories-tree-diagram-196896

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1.5coins 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.

(a) 5 coins can land in ...

#### Solution Summary

All the questions have been solved step-by-step. Tree Diagram has been drawn.