833 integers are neither multiples of 2 nor multiples 9
Given,
Number of integers from 1 to 1000 = 1000
There are 1000 numbers altogether
Total numbers that can be divided by 2
Number that are multiples of 2 = 1000 ÷ 2 = 500
500 of the number are multiples of 2
Total numbers that are multiples of 9
Numbers that are multiples of 9 = 1000 ÷ 9 = 111 R 1
111 of the numbers are multiples of 9
Of the 111 numbers that are multiples of 9, half of the numbers are even and had been included in multiples of 2.
111 ÷ 2 = 55 R 1
111 - 55 = 56
56 of the numbers are multiples of 9
Total numbers that can be multiples of 2 or 9
111 + 56 = 167
Total number that are neither multiples of 2 nor 9
1000 - 167 = 833
833 integers are neither multiples of 2 nor multiples 9
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