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D Question 5 10 pts How many 5 permutations of a set with nine elements are ther

ID: 3741472 • Letter: D

Question

D Question 5 10 pts How many 5 permutations of a set with nine elements are there Question 6 10 pts A combination lock has a password that is three numbers between 0 and 99. Assuming the same number can't be used more than once in a password, how many potential passwords are thene O 100/3 10013970 O 100/97 Question 7 10 pts A coin Is ripped six times. producing ether heads or tals ow may possible outcomes contain Evo or fewer headh? 0?? Question 8 10 pts How many bit strings of length 10 contain an equal mumber of Os and 1s? lors, O 210 DQuestion 9 10 pts How many ways are there to select five countries in the United Nations to serve on a councl if two are selocted from a block of 20 countries, and four are selected from a block of 40 countries? 208821 40135 4 DQuestion 10 10 pts How many bit strings of length 10 contain exactly four 1s? 02% 1018

Explanation / Answer

Answer:

9!/ 4!

We have the formulla : nPr = n!/(n - r)!

Here n = 9 , r = 5

9P4 = 9!/ (9 - 5)! = 9! / 4!

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