The number of natural numbers lying between 1012 and 23421 that can be formed using the digits 2, 3, 4, 5, 6 (repetition of digits is not allowed) and divisible by 55 is____,
Text Solution
Verified by Experts6
(6)
4 digit numbers
For divisibility by 55, no. should be
div. by 5 and 11 both
Also, for divisibility by 11
a+ c = b + 5
for b = 1 a = 2, c = 4
a = 4, c = 2
for b = 2 a = 3, c = 4 a = 4, c = 3
for b = 3 a = 6, c = 2 a=2, c=6
6 possible four digit no.s are div. by 55
(II) 5 digit number is not possible
(Not possible)
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