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Tasya [4]
2 years ago
6

Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the fir

st initial of each person’s name represents that person’s position as he or she is visited by Miriam. Which shows all the outcomes for this event if she visits with Nicole first and Louise last? NMOPL, NOMPL, NPMOL NLMOP, NLOMP, NMLOP, NMOLP, NOMNP, NONMP NMOPL, NMPOL, NOPML, NOMPL, NPMOL, NPOML NLMOP, NMLOP, NOLMP
Mathematics
2 answers:
Advocard [28]2 years ago
4 0

If N is first and L is last, then we just need to find all of the permutations for M, O, and P

with first letter M:       MOP     MPO

with first letter O:       OPM     OMP

with first letter P:        PMO     POM


Now, place the N in front and the L at the end of each permutation. There are 6 permutations in total:


          NMOPL              NMPOL

          NOPML              NOMPL

          NPMOL              NPOML



slavikrds [6]2 years ago
4 0

Answer:

C, the choice with 6 of them that all start with N and end with L

Step-by-step explanation:

3dg 2020

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If each term in the sum a1+a2+a3+...+an is either 7 or 77 and the sum equals 350, which of the following could be equal to n?A.
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C. 40

Step-by-step explanation:

Let us say there are x 7's and y 77's.

We have been given that each term in the sum a1+a2+a3+...+an is either 7 or 77 and the sum equals 350. We are asked to find the value of n.

Since the sum of all numbers is 350, so we can represent this information in an equation as:

7x+77y=350

The only integer solutions for the equation 7x+77y=350 are 10, 20, 30, 40, 50 .

So, there can be these many terms: 10 or 20 or 30 or 40 or 50 .

The given option only contains 40, so 40 would be the answer. For 40 terms to be there, there has to be 39 sevens and 1 seventy-seven.

Let us verify our answer.

7x+77y=350

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273+77=350

350=350

Therefore, the total terms (n) could be equal to 40 and option C is the correct choice.

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