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Q.

The total number of 4 digit numbers in which the digits are in descending order is

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a

1200

b

$^{10} C_{4} \times 4!$

c

$\frac{10!}{4!}$

d

$^{10} C_{4}$

answer is B.

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Detailed Solution

Number of 4 digit Numbers in decreasing order

Select 4 digit from 0 to 9 in $10 C_{4}$ ways and can be arranged in decreasing order in one way.

No. of 4 digit numbers in decreasing order = $10 C_{4}$

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