Explain step by step via any shortcut methods.......How many integers are there between 100 and 1000 all of whose digits are even?
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Explain step by step via any shortcut methods.......How many integers are there between 100 and 1000 all of whose digits are even?
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Step-by-step explanation:
102,104,...............,998
a=102
d=2
an=998
a+(n-1)d=998
102+(n-1)2=998
(n-1) 2=998-102
(n-1) =896÷2
n-1 =448
n=449
449 even integers are there between 100 & 1000.
Step-by-step explanation:
102,104,...............,998
a=102
d=2
an=998
a+(n-1)d=998
102+(n-1)2=998
(n-1) 2=998-102
(n-1) =896÷2
n-1 =448
n=449
449 even integers are there between 100 & 1000.