1 Sam is asked to determine the total ways in which he can obtain a positive number less than a million using digits. 3,6,0.
a)6074
b)1428
c)728
d)486
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Answer:
c) 728
Step-by-step explanation:
Concept- Permutation and Combination
Given- Digits and combination
To find- Total ways
Explanation-
The total number of ways in which a positive number can be formed less than million from 0,3,6 will be as follows
We can not begin the first position with 0 because then it will not be less than million so,
Ways of 6 digits= 2*3*3*3*3*3=486
Ways of 5 digit=2*3*3*3*3=162
Ways of 4 digit=2*3*3*3=54
Ways of 3 digit=2*3*3=18
Ways of 2 digit=2*3=6
Ways of 1 digit= 2
Total Ways = 486+162+54+18+6+2=728.
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