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# Combinatories and Tree Diagram

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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

#### Solution Preview

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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.

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