how many three digit numbers can be made using only the digits {1, 2, 4, 6, 8, 9} repetition is allowed
1 answer:
Answer:
56
Step-by-step explanation:
Given data:
{1 ,2 ,4, 6, 8, 9}
Formula for combinations is used since the order does not matter and repetition is allowed.
nCr = (n + r -1) /(r! * (n-1)!) where n is the total number of items and r is the items to be picked
6C3 = (6 + 3 - 1)! /(3! * (6 -1)!
6C3 = 8!/(3! *5!) Simplifying the factorials)
6C3 = 40320/(6*120)
6C3 = 40320/720
6C3 = 56
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