Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.

60000

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65000

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70000

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75000

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Solution

The correct option is D $65000$
Total alphabets $= 26$
Selection of letters $=^{26} C_{1} \times^{25} C_{1}$
Total single digit numbers $= 10$
Selection of numerals $=^{10} C_{1} \times^{10} C_{1}$
Total number of numbers for vehicals
$= 26 \times 25 \times 100 = 65000$

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Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.

The correct option is D 65000Total alphabets =26Selection of letters =26C1×25C1Total single digit numbers=10Selection of numerals =10C1×10C1Total number of numbers for vehicals=26×25×100=65000

The correct option is D $65000$
Total alphabets $= 26$
Selection of letters $=^{26} C_{1} \times^{25} C_{1}$
Total single digit numbers $= 10$
Selection of numerals $=^{10} C_{1} \times^{10} C_{1}$
Total number of numbers for vehicals
$= 26 \times 25 \times 100 = 65000$