Answer:
5259544316
Step-by-step explanation:
Given that:
Length of string = 7
Either begins with 2 consonants or ends with 2 vowels :
Either or :
A U B = A + B - (AnB)
Number of vowels in alphabet = 5
Number of consonants = 21
2 consonants at beginning :
First 2 consonants, then the rest could be any:
21 * 21 * 26 * 26 * 26 * 26 * 26 = 5239686816
3 vowels at the end :
First 4 letters could be any alphabet ; last 3 should be vowels.:
26 * 26 * 26 * 26 * 5 * 5 * 5 = 57122000
2 consonants at beginning and 3 vowels at the end :
21 * 21 * 26 *26 *5* 5 * 5 = 37264500
Hence,
2 consonants at beginning + 3 vowels at end 2 consonants at beginning - 2 consonants at beginning and 3 vowels At end
(5239686816 + 57122000) - 37264500
= 5259544316
Hence, number of 7 alphabet strings that begins with 2 consonants and end with 3 vowels = 5259544316
M(N+2)+3N+6
M*(n+2)+3(n+2)
Answer
(n+2)*(m+3)
Answer:
You have to use the Pythagorean Theorem to find the other side, which will be your base in the Area formula (A=1/2bh). So the Pythagorean theorem would be 36^2 + b^2 = 60^2. This gives you 48 in for your base/missing side length. Then, you plug it into the area formula. So, A=1/2(48) (36). This gives you 864 in^2 for the area of your triangle.
Answer:
112 tiles
Step-by-step explanation:
Answer:
To subtract a number from another number, the sign of the number (which is to be subtracted) should be changed and then this number with the changed sign, should be added to the first number
Step-by-step explanation:
(i) Evaluate (+6) – (+2)
= (+6) + (-2) (charging the sign of the number to be subtracted and then adding)
On subtracting smaller number 2 from bigger number 6; we get 6 – 2 = 4
Since, the sign of bigger number is + (positive)
= +4 or 4
Therefore, (+6) – (+2) = 4
(ii) Evaluate (+5) – (-3)
= (+5) + (+3) (charging the sign of the number to be subtracted and then adding)
We know, to add a positive (+ ve) number to a positive (+ ve) number, the numbers should be added and positive sign should be attached to the sum obtained.
= +8
Therefore, (+5) – (-3) = 8
