How many 5 digit numbers are divisible by 4 can be formed?
Hint: We will use the concepts of permutation and combination to solve this question. The basic combination formula $\dfrac{n!}{r!\left( n-r \right)!}$ is used to solve. Also the divisibility rule for the number to be divisible by $25$ will be used to get the desired answer.
Complete step by step answer: Option C is the correct answer. Note: How many 5So the last two digits can be 04 12 16 20 24 32 36 40 52 56 60 64. There are 4 cases wherein the last two digits contains 0. So the other 3 digits can be filled by selecting in ways. So that gives a total of 4x i.e 240 numbers.
How many 5How many 5 - digit numbers divisible by 4 can be formed using the digits 5,6, 7, 8, and 9 such that there is no repetition of digits? A) 30.
What is the probability that a 5∴ Total number n(A) of numbers which are divisible by 4 is 4 × 6 = 24. ∴ The required probability = n ( A ) N = 24 120 = 1 5 .
How many 5Thus, the total number of five digit numbers divisible by 5 is 120+96=216.
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