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It is someone who listens to bush while cooking bbq with their motorcycle helmet on.
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∙ 11y ago
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How do you pronounce conriocht in Irish?
In SW Ireland: k(uh)aev-nór;in the W and N: k(uh)eeoo-nór.It's not a 'kw' sound, but a short 'u' glide into the next vowel.
How many 4-digit numbers can you build if the number must be odd odd digits can be repeated and even digits cannot be repeated?
Given (reworded a little):Length (L) = 4Must be an odd number is the same as saying it must end in an odd numberOdd digits: 1, 3, 5, 7, 9 (nodd = 5)Even digits: 0, 2, 4, 6, 8 (neven = 5)n = Odd + Even = 10Odd digits can be repetitiveEven digits cannot be repetitiveAssuming we are not counting numbers that start with a 0, because they simplify into three digit numbers. (i.e., 0123 = 123)First figure how how many four digit numbers in total you can have. This optional step gives you a check for your final answer, to make sure it makes sense.I'll use square brackets to illustrate what can be in the boxes.[n-1][10][10][10] = (9)(103) = 9000 total possibilities (this makes since because 9999 = 9000)Because our number has to be odd:[n-1][10][10][nodd] = (9)(5)(102) = 4500 total odd possibilitiesAny number over 4500 does not make since for a final answer.Break this into cases to simplify it.Case 1: Number starts with an even number (remember if it starts with an odd number, we need to exclude zero). The first term will always be neven-1, but the next term, 0 is allowed, but you still have to remove the number you just used so it will also be neven-1.EEEO => [neven-1][neven-1][neven-2][nodd] = 4 x 4 x 3 x 5 = 240EOEO =>[neven-1][nodd][neven-1][nodd] = 4 x 5 x 4 x 5 = 400EEOO =>[neven-1][neven-1][nodd][nodd] = 4 x 4 x 5 x 5 = 400EOOO =>[neven-1][nodd][nodd][nodd] = 4 x 5 x 5 x 5 = 500Case 1 total = 240 + 400 + 400 + 500 = 1540 possibilitiesCase 2: Number starts with an odd numberOOOO => [nodd][nodd][nodd][nodd] = 5 x 5 x 5 x 5 = 625OEOO =>[nodd][neven][nodd][nodd] = 5 x 5 x 5 x 5= 625OOEO =>[nodd][nodd][neven][nodd] = 5 x 5 x 5 x 5= 625OEEO =>[nodd][neven][neven-1][nodd] = 5 x 5 x 4 x 5 = 500Case 2 total = 625 + 625 + 625 + 500 = 2375 possibilitiesAdd Case 1 and Case 2 totals up:1540 + 2375 = 3915 possibilitiesCheck your answer against all odd number possibilities:3915 < 4500, therefore our answer makes sense.The answer is 3915 possibilities.To check your work, try to find how many odd numbers have even numbers that repeat and subtract that from the total odd possibilities we found first. In this case though, this check is harder than the actual problem. You have to consider the EEEO, EOEO, EEOO, and OEEO cases. However the EEEO case breaks into three further cases, depending on which E is repeating.
