(A) Numbers between $10$ and $10000$ can be $2$-digit,$3$-digit,or $4$-digit numbers.Number of ways to form a $2$-digit number using $5$ distinct digi

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(A) Numbers between $10$ and $10000$ can be $2$-digit,$3$-digit,or $4$-digit numbers.Number of ways to form a $2$-digit number using $5$ distinct digits: $5 \times 4 = 20$.Number of ways to form a $3$-digit number using $5$ distinct digits: $5 \times 4 \times 3 = 60$.Number of ways to form a $4$-digit number using $5$ distinct digits: $5 \times 4 \times 3 \times 2 = 120$.Total numbers formed = $20 + 60 + 120 = 200$.

Class 11 Mathematics Permutations and Combinations Definition of permutation, Number of permutations with or without repetition, Conditional permutations

Medium

How many numbers between $10$ and $10000$ can be formed by using the digits $1, 2, 3, 4, 5$,if no digit is repeated in any number?

AP EAMCET 2022 All AP EAMCET

A
$200$
B
$775$
C
$60$
D
$120$

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Permutations and Combinations

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Definition of permutation, Number of permutations with or without repetition, Conditional permutations

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