Total number of five letter strings formed by A,B,C and D with repetitions allowed
={4x4x4x4x4 = 4 power 5 = 1024
Now, fix BAD in a string at one place then we have 2 more places to be filled with 4 letters, total number of such strings
=4x4=16
Here, BAD can be at any of the 3 positions,
Hence the total number of strings with BAD in it
= 3 x 16=48
Now, The total number of strings not containing BAD
=1024-48
=976
Using 26 letters, the number of 5-letter words that can be formed when the letters are different is determined as follows: 26P5 = 26 × 25 × 24 × 23 × 22 = 7883600 different words.
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One thing, Check your multiplication and dividing situation.
Answer:
C
Step-by-step explanation:
3x2 - 5x+1 + 2x2 +9x-6
Combine like terms
5x2+4x-5 which is C
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Answer:
24 + 72 = 96
Step-by-step explanation:
20 + 70 = 90
4 + 2 = 6
90 + 6 = 96
You can first add the ones and then add the tens start always from the ones place gradually getting the higher value digit, to make it easier stack them.
72
24
+____
96
Answer:
B
Step-by-step explanation:
yes, we need two numbers that multiplied with each other results in -48.
that means already that one of them has to be positive and the other negative.
that gives us (with all +/- alternating sign combinations)
2 and 24
3 and 16
4 and 12
6 and 8
to pick from there we see that the "middle" term is -2x.
that means that the absolute value of the negative number has to be 2 more than the positive number (so that when adding the intermediate multiplication terms we end up with -2x).
the only choice is therefore 6 and -8.
and that makes B the right answer.
