CAT 2021 Permutations and Combinations Question (Medium)

Question

A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once. The number of all such four-digit numbers is

Accepted Answer

Step 1 Understand the Constraints The number must be a four-digit number. Only digits 1, 2, and 3 can be used. Both digit 2 and digit 3 must appear at least once. Step 2 Calculate the Total Number of Four-Digit Numbers Using Only 1, 2, 3 For a four-digit number, each of the four positions thousands,

CAT 2021

Quantitative

Permutations and Combinations

Medium

A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once. The number of all such four-digit numbers is

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