How many 5 digit numbers are possible from digits 1, 2, 3, 4, 5, 6, 7. When repetition of digits is allowed ?

7^{4}

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5^{7}

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7^{5}

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None of these

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Solution

The correct option is C $7^{5}$
$(7)^{5} \Rightarrow 7 \times 7 \times 7 \times 7 \times 7 = 7^{5}$

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How many 3-digit numbers can be formed from the digits 5, 6, 7, 8 and 9 assuming that

(i) Repetition of the digits is allowed?

(ii) Repetition of the digits is not allowed?

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