Step-by-step explanation:
Choosing 4 digits out of 10 = 10C4 = 210.
Arranging the 4 digits in 4 places = 4!
Total number of ways to arrange digits
= 210 * 4! = 5040.
Choosing 2 letters out of 26 = 26C2 = 325
Arranging the 2 letters in 2 places = 2!
Total number of ways to arrange letters
= 325 * 2! = 650.
Total number of possible license plates
= 5040 * 650 = 3,276,000.
Answer:
2,600,000
Step-by-step explanation:
To determine the number of license plate that can be made with one letter and 5 digits;
Number of English alphabet = 26
Number of digits from 0 to 9 = 10
Each letter have 26 possible options and each digit have 10 possible options.
Number of license plate that can be made is;
N = 26 × 10^5
N = 2600000
Answer:
1) 2=27
2) x= -11/2
3) no
Step-by-step explanation:
<u>Answer:</u> 504
<u>Step-by-step explanation: </u>
Least Common Multiple is :
504
Calculate Least Common Multiple for :
18, 24 and 56
Factorize of the above numbers :
18 = 2 • 32
24 = 23 • 3
56 = 23 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
18 Number
24 Number
56 L.C.M
(max)
2 1 3 3 3
3 2 1 0 2
7 0 0 1 1
LCM = 23 • 32 • 7
Least Common Multiple is :
504