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Question

Mathematics Question on permutations and combinations

How many numbers of 6 digits can be formed from the digits of the number 112233 ?

A

30

B

60

C

90

D

120

Answer

90

Explanation

Solution

Here the digits repeat as: 1 = 2 times, 2 = 2 times and 3 = 2 times Thus the total no. of the permutation =(2+2+2)!2!2!2!=6×5×4×3×2×12×2×2=90= \frac{( 2 + 2 + 2)! }{2! 2! 2!} = \frac{6 \times5 \times 4 \times 3 \times 2 \times 1}{2 \times 2 \times 2} = 90